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Finding the Third Proportional to 76,587.61 and 168,294.38

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Solution

The third proportional to 76,587.61 and 168,294.38 is: 369,811.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,587.61 : 168,294.38 = 168,294.38 : x
  2. Step 2: Convert to fraction form
    76,587.61/168,294.38 = 168,294.38/x
  3. Step 3: Cross multiply
    76,587.61x = 168,294.38 × 168,294.38
  4. Step 4: Simplify right side
    76,587.61x = 28,322,996,656.64
  5. Step 5: Solve for x
    x = 28,322,996,656.64/76,587.61
  6. Step 6: Final answer
    x = 369,811.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.