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Finding the Third Proportional to 193,853.25 and 289,618.03

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Solution

The third proportional to 193,853.25 and 289,618.03 is: 432,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,853.25 : 289,618.03 = 289,618.03 : x
  2. Step 2: Convert to fraction form
    193,853.25/289,618.03 = 289,618.03/x
  3. Step 3: Cross multiply
    193,853.25x = 289,618.03 × 289,618.03
  4. Step 4: Simplify right side
    193,853.25x = 83,878,604,025.13
  5. Step 5: Solve for x
    x = 83,878,604,025.13/193,853.25
  6. Step 6: Final answer
    x = 432,691.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.