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Finding the Third Proportional to 151,449 and 234,472.50

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Solution

The third proportional to 151,449 and 234,472.50 is: 363,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,449 : 234,472.50 = 234,472.50 : x
  2. Step 2: Convert to fraction form
    151,449/234,472.50 = 234,472.50/x
  3. Step 3: Cross multiply
    151,449x = 234,472.50 × 234,472.50
  4. Step 4: Simplify right side
    151,449x = 54,977,353,256.25
  5. Step 5: Solve for x
    x = 54,977,353,256.25/151,449
  6. Step 6: Final answer
    x = 363,009.02

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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.