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Finding the Third Proportional to 131,724 and 288,535

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Solution

The third proportional to 131,724 and 288,535 is: 632,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,724 : 288,535 = 288,535 : x
  2. Step 2: Convert to fraction form
    131,724/288,535 = 288,535/x
  3. Step 3: Cross multiply
    131,724x = 288,535 × 288,535
  4. Step 4: Simplify right side
    131,724x = 83,252,446,225
  5. Step 5: Solve for x
    x = 83,252,446,225/131,724
  6. Step 6: Final answer
    x = 632,021.85

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Why These Related Problems?

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