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Finding the Third Proportional to 151,352 and 324,436

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Solution

The third proportional to 151,352 and 324,436 is: 695,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,352 : 324,436 = 324,436 : x
  2. Step 2: Convert to fraction form
    151,352/324,436 = 324,436/x
  3. Step 3: Cross multiply
    151,352x = 324,436 × 324,436
  4. Step 4: Simplify right side
    151,352x = 105,258,718,096
  5. Step 5: Solve for x
    x = 105,258,718,096/151,352
  6. Step 6: Final answer
    x = 695,456.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.