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Finding the Third Proportional to 151,158 and 329,534

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Solution

The third proportional to 151,158 and 329,534 is: 718,404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,158 : 329,534 = 329,534 : x
  2. Step 2: Convert to fraction form
    151,158/329,534 = 329,534/x
  3. Step 3: Cross multiply
    151,158x = 329,534 × 329,534
  4. Step 4: Simplify right side
    151,158x = 108,592,657,156
  5. Step 5: Solve for x
    x = 108,592,657,156/151,158
  6. Step 6: Final answer
    x = 718,404.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.