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Finding the Third Proportional to 230,799.38 and 365,153.06

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Solution

The third proportional to 230,799.38 and 365,153.06 is: 577,717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,799.38 : 365,153.06 = 365,153.06 : x
  2. Step 2: Convert to fraction form
    230,799.38/365,153.06 = 365,153.06/x
  3. Step 3: Cross multiply
    230,799.38x = 365,153.06 × 365,153.06
  4. Step 4: Simplify right side
    230,799.38x = 133,336,759,053.13
  5. Step 5: Solve for x
    x = 133,336,759,053.13/230,799.38
  6. Step 6: Final answer
    x = 577,717.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.