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Finding the Third Proportional to 140,251.50 and 306,792.56

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Solution

The third proportional to 140,251.50 and 306,792.56 is: 671,092.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,251.50 : 306,792.56 = 306,792.56 : x
  2. Step 2: Convert to fraction form
    140,251.50/306,792.56 = 306,792.56/x
  3. Step 3: Cross multiply
    140,251.50x = 306,792.56 × 306,792.56
  4. Step 4: Simplify right side
    140,251.50x = 94,121,676,405.32
  5. Step 5: Solve for x
    x = 94,121,676,405.32/140,251.50
  6. Step 6: Final answer
    x = 671,092.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.