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Finding the Third Proportional to 137,484.75 and 207,609.75

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Solution

The third proportional to 137,484.75 and 207,609.75 is: 313,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,484.75 : 207,609.75 = 207,609.75 : x
  2. Step 2: Convert to fraction form
    137,484.75/207,609.75 = 207,609.75/x
  3. Step 3: Cross multiply
    137,484.75x = 207,609.75 × 207,609.75
  4. Step 4: Simplify right side
    137,484.75x = 43,101,808,295.06
  5. Step 5: Solve for x
    x = 43,101,808,295.06/137,484.75
  6. Step 6: Final answer
    x = 313,502.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.