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Finding the Third Proportional to 158,436 and 344,304

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Solution

The third proportional to 158,436 and 344,304 is: 748,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,436 : 344,304 = 344,304 : x
  2. Step 2: Convert to fraction form
    158,436/344,304 = 344,304/x
  3. Step 3: Cross multiply
    158,436x = 344,304 × 344,304
  4. Step 4: Simplify right side
    158,436x = 118,545,244,416
  5. Step 5: Solve for x
    x = 118,545,244,416/158,436
  6. Step 6: Final answer
    x = 748,221.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.