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Finding the Third Proportional to 151,737 and 234,448.50

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Solution

The third proportional to 151,737 and 234,448.50 is: 362,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,737 : 234,448.50 = 234,448.50 : x
  2. Step 2: Convert to fraction form
    151,737/234,448.50 = 234,448.50/x
  3. Step 3: Cross multiply
    151,737x = 234,448.50 × 234,448.50
  4. Step 4: Simplify right side
    151,737x = 54,966,099,152.25
  5. Step 5: Solve for x
    x = 54,966,099,152.25/151,737
  6. Step 6: Final answer
    x = 362,245.85

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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.