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Finding the Third Proportional to 136,424 and 321,592

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Solution

The third proportional to 136,424 and 321,592 is: 758,088.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,424 : 321,592 = 321,592 : x
  2. Step 2: Convert to fraction form
    136,424/321,592 = 321,592/x
  3. Step 3: Cross multiply
    136,424x = 321,592 × 321,592
  4. Step 4: Simplify right side
    136,424x = 103,421,414,464
  5. Step 5: Solve for x
    x = 103,421,414,464/136,424
  6. Step 6: Final answer
    x = 758,088.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.