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Finding the Third Proportional to 100,429.50 and 155,502

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Solution

The third proportional to 100,429.50 and 155,502 is: 240,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,429.50 : 155,502 = 155,502 : x
  2. Step 2: Convert to fraction form
    100,429.50/155,502 = 155,502/x
  3. Step 3: Cross multiply
    100,429.50x = 155,502 × 155,502
  4. Step 4: Simplify right side
    100,429.50x = 24,180,872,004
  5. Step 5: Solve for x
    x = 24,180,872,004/100,429.50
  6. Step 6: Final answer
    x = 240,774.59

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