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Finding the Third Proportional to 131,247 and 287,917.50

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Solution

The third proportional to 131,247 and 287,917.50 is: 631,606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,247 : 287,917.50 = 287,917.50 : x
  2. Step 2: Convert to fraction form
    131,247/287,917.50 = 287,917.50/x
  3. Step 3: Cross multiply
    131,247x = 287,917.50 × 287,917.50
  4. Step 4: Simplify right side
    131,247x = 82,896,486,806.25
  5. Step 5: Solve for x
    x = 82,896,486,806.25/131,247
  6. Step 6: Final answer
    x = 631,606.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.