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Finding the Third Proportional to 106,062.75 and 230,816.25

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Solution

The third proportional to 106,062.75 and 230,816.25 is: 502,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,062.75 : 230,816.25 = 230,816.25 : x
  2. Step 2: Convert to fraction form
    106,062.75/230,816.25 = 230,816.25/x
  3. Step 3: Cross multiply
    106,062.75x = 230,816.25 × 230,816.25
  4. Step 4: Simplify right side
    106,062.75x = 53,276,141,264.06
  5. Step 5: Solve for x
    x = 53,276,141,264.06/106,062.75
  6. Step 6: Final answer
    x = 502,307.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.