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Finding the Third Proportional to 131,567.34 and 284,180.91

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Solution

The third proportional to 131,567.34 and 284,180.91 is: 613,820.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,567.34 : 284,180.91 = 284,180.91 : x
  2. Step 2: Convert to fraction form
    131,567.34/284,180.91 = 284,180.91/x
  3. Step 3: Cross multiply
    131,567.34x = 284,180.91 × 284,180.91
  4. Step 4: Simplify right side
    131,567.34x = 80,758,787,477.07
  5. Step 5: Solve for x
    x = 80,758,787,477.07/131,567.34
  6. Step 6: Final answer
    x = 613,820.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.