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Finding the Third Proportional to 168,277.50 and 357,331.50

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Solution

The third proportional to 168,277.50 and 357,331.50 is: 758,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,277.50 : 357,331.50 = 357,331.50 : x
  2. Step 2: Convert to fraction form
    168,277.50/357,331.50 = 357,331.50/x
  3. Step 3: Cross multiply
    168,277.50x = 357,331.50 × 357,331.50
  4. Step 4: Simplify right side
    168,277.50x = 127,685,800,892.25
  5. Step 5: Solve for x
    x = 127,685,800,892.25/168,277.50
  6. Step 6: Final answer
    x = 758,781.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.