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Finding the Third Proportional to 76,432 and 168,417

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Solution

The third proportional to 76,432 and 168,417 is: 371,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,432 : 168,417 = 168,417 : x
  2. Step 2: Convert to fraction form
    76,432/168,417 = 168,417/x
  3. Step 3: Cross multiply
    76,432x = 168,417 × 168,417
  4. Step 4: Simplify right side
    76,432x = 28,364,285,889
  5. Step 5: Solve for x
    x = 28,364,285,889/76,432
  6. Step 6: Final answer
    x = 371,104.85

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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.