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Finding the Third Proportional to 76,352 and 161,280

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Solution

The third proportional to 76,352 and 161,280 is: 340,675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,352 : 161,280 = 161,280 : x
  2. Step 2: Convert to fraction form
    76,352/161,280 = 161,280/x
  3. Step 3: Cross multiply
    76,352x = 161,280 × 161,280
  4. Step 4: Simplify right side
    76,352x = 26,011,238,400
  5. Step 5: Solve for x
    x = 26,011,238,400/76,352
  6. Step 6: Final answer
    x = 340,675.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.