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Finding the Third Proportional to 138,491.50 and 306,046.50

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Solution

The third proportional to 138,491.50 and 306,046.50 is: 676,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,491.50 : 306,046.50 = 306,046.50 : x
  2. Step 2: Convert to fraction form
    138,491.50/306,046.50 = 306,046.50/x
  3. Step 3: Cross multiply
    138,491.50x = 306,046.50 × 306,046.50
  4. Step 4: Simplify right side
    138,491.50x = 93,664,460,162.25
  5. Step 5: Solve for x
    x = 93,664,460,162.25/138,491.50
  6. Step 6: Final answer
    x = 676,319.20

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.