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Finding the Third Proportional to 151,436 and 329,386

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Solution

The third proportional to 151,436 and 329,386 is: 716,442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,436 : 329,386 = 329,386 : x
  2. Step 2: Convert to fraction form
    151,436/329,386 = 329,386/x
  3. Step 3: Cross multiply
    151,436x = 329,386 × 329,386
  4. Step 4: Simplify right side
    151,436x = 108,495,136,996
  5. Step 5: Solve for x
    x = 108,495,136,996/151,436
  6. Step 6: Final answer
    x = 716,442.17

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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.