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Finding the Third Proportional to 100,440 and 155,412

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Solution

The third proportional to 100,440 and 155,412 is: 240,470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,440 : 155,412 = 155,412 : x
  2. Step 2: Convert to fraction form
    100,440/155,412 = 155,412/x
  3. Step 3: Cross multiply
    100,440x = 155,412 × 155,412
  4. Step 4: Simplify right side
    100,440x = 24,152,889,744
  5. Step 5: Solve for x
    x = 24,152,889,744/100,440
  6. Step 6: Final answer
    x = 240,470.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.