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Finding the Third Proportional to 136,632 and 296,592

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Solution

The third proportional to 136,632 and 296,592 is: 643,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,632 : 296,592 = 296,592 : x
  2. Step 2: Convert to fraction form
    136,632/296,592 = 296,592/x
  3. Step 3: Cross multiply
    136,632x = 296,592 × 296,592
  4. Step 4: Simplify right side
    136,632x = 87,966,814,464
  5. Step 5: Solve for x
    x = 87,966,814,464/136,632
  6. Step 6: Final answer
    x = 643,822.93

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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.