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Finding the Third Proportional to 100,458 and 155,410.31

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Solution

The third proportional to 100,458 and 155,410.31 is: 240,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,458 : 155,410.31 = 155,410.31 : x
  2. Step 2: Convert to fraction form
    100,458/155,410.31 = 155,410.31/x
  3. Step 3: Cross multiply
    100,458x = 155,410.31 × 155,410.31
  4. Step 4: Simplify right side
    100,458x = 24,152,365,231.35
  5. Step 5: Solve for x
    x = 24,152,365,231.35/100,458
  6. Step 6: Final answer
    x = 240,422.52

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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.