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Finding the Third Proportional to 151,281.75 and 205,557

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Solution

The third proportional to 151,281.75 and 205,557 is: 279,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,281.75 : 205,557 = 205,557 : x
  2. Step 2: Convert to fraction form
    151,281.75/205,557 = 205,557/x
  3. Step 3: Cross multiply
    151,281.75x = 205,557 × 205,557
  4. Step 4: Simplify right side
    151,281.75x = 42,253,680,249
  5. Step 5: Solve for x
    x = 42,253,680,249/151,281.75
  6. Step 6: Final answer
    x = 279,304.54

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.