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Finding the Third Proportional to 130,829.25 and 207,502.88

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Solution

The third proportional to 130,829.25 and 207,502.88 is: 329,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,829.25 : 207,502.88 = 207,502.88 : x
  2. Step 2: Convert to fraction form
    130,829.25/207,502.88 = 207,502.88/x
  3. Step 3: Cross multiply
    130,829.25x = 207,502.88 × 207,502.88
  4. Step 4: Simplify right side
    130,829.25x = 43,057,443,133.27
  5. Step 5: Solve for x
    x = 43,057,443,133.27/130,829.25
  6. Step 6: Final answer
    x = 329,111.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.