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Finding the Third Proportional to 133,065.28 and 205,543.83

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Solution

The third proportional to 133,065.28 and 205,543.83 is: 317,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,065.28 : 205,543.83 = 205,543.83 : x
  2. Step 2: Convert to fraction form
    133,065.28/205,543.83 = 205,543.83/x
  3. Step 3: Cross multiply
    133,065.28x = 205,543.83 × 205,543.83
  4. Step 4: Simplify right side
    133,065.28x = 42,248,265,280.28
  5. Step 5: Solve for x
    x = 42,248,265,280.28/133,065.28
  6. Step 6: Final answer
    x = 317,500.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.