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Finding the Third Proportional to 138,460.50 and 207,459

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Solution

The third proportional to 138,460.50 and 207,459 is: 310,841.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,460.50 : 207,459 = 207,459 : x
  2. Step 2: Convert to fraction form
    138,460.50/207,459 = 207,459/x
  3. Step 3: Cross multiply
    138,460.50x = 207,459 × 207,459
  4. Step 4: Simplify right side
    138,460.50x = 43,039,236,681
  5. Step 5: Solve for x
    x = 43,039,236,681/138,460.50
  6. Step 6: Final answer
    x = 310,841.26

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Why These Related Problems?

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