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Finding the Third Proportional to 158,004 and 338,151

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Solution

The third proportional to 158,004 and 338,151 is: 723,691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,004 : 338,151 = 338,151 : x
  2. Step 2: Convert to fraction form
    158,004/338,151 = 338,151/x
  3. Step 3: Cross multiply
    158,004x = 338,151 × 338,151
  4. Step 4: Simplify right side
    158,004x = 114,346,098,801
  5. Step 5: Solve for x
    x = 114,346,098,801/158,004
  6. Step 6: Final answer
    x = 723,691.16

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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.