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Finding the Third Proportional to 74,564 and 160,249

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Solution

The third proportional to 74,564 and 160,249 is: 344,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,564 : 160,249 = 160,249 : x
  2. Step 2: Convert to fraction form
    74,564/160,249 = 160,249/x
  3. Step 3: Cross multiply
    74,564x = 160,249 × 160,249
  4. Step 4: Simplify right side
    74,564x = 25,679,742,001
  5. Step 5: Solve for x
    x = 25,679,742,001/74,564
  6. Step 6: Final answer
    x = 344,398.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.