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Finding the Third Proportional to 74,403.56 and 175,605.47

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Solution

The third proportional to 74,403.56 and 175,605.47 is: 414,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,403.56 : 175,605.47 = 175,605.47 : x
  2. Step 2: Convert to fraction form
    74,403.56/175,605.47 = 175,605.47/x
  3. Step 3: Cross multiply
    74,403.56x = 175,605.47 × 175,605.47
  4. Step 4: Simplify right side
    74,403.56x = 30,837,280,654.91
  5. Step 5: Solve for x
    x = 30,837,280,654.91/74,403.56
  6. Step 6: Final answer
    x = 414,459.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.