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Finding the Third Proportional to 138,458.75 and 207,457.75

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Solution

The third proportional to 138,458.75 and 207,457.75 is: 310,841.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,458.75 : 207,457.75 = 207,457.75 : x
  2. Step 2: Convert to fraction form
    138,458.75/207,457.75 = 207,457.75/x
  3. Step 3: Cross multiply
    138,458.75x = 207,457.75 × 207,457.75
  4. Step 4: Simplify right side
    138,458.75x = 43,038,718,035.06
  5. Step 5: Solve for x
    x = 43,038,718,035.06/138,458.75
  6. Step 6: Final answer
    x = 310,841.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.