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Finding the Third Proportional to 100,436.50 and 155,447

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Solution

The third proportional to 100,436.50 and 155,447 is: 240,587.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,436.50 : 155,447 = 155,447 : x
  2. Step 2: Convert to fraction form
    100,436.50/155,447 = 155,447/x
  3. Step 3: Cross multiply
    100,436.50x = 155,447 × 155,447
  4. Step 4: Simplify right side
    100,436.50x = 24,163,769,809
  5. Step 5: Solve for x
    x = 24,163,769,809/100,436.50
  6. Step 6: Final answer
    x = 240,587.53

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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.