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Finding the Third Proportional to 131,280.75 and 316,507.50

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Solution

The third proportional to 131,280.75 and 316,507.50 is: 763,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,280.75 : 316,507.50 = 316,507.50 : x
  2. Step 2: Convert to fraction form
    131,280.75/316,507.50 = 316,507.50/x
  3. Step 3: Cross multiply
    131,280.75x = 316,507.50 × 316,507.50
  4. Step 4: Simplify right side
    131,280.75x = 100,176,997,556.25
  5. Step 5: Solve for x
    x = 100,176,997,556.25/131,280.75
  6. Step 6: Final answer
    x = 763,074.54

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.