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Finding the Third Proportional to 131,496 and 288,021

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Solution

The third proportional to 131,496 and 288,021 is: 630,864.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,496 : 288,021 = 288,021 : x
  2. Step 2: Convert to fraction form
    131,496/288,021 = 288,021/x
  3. Step 3: Cross multiply
    131,496x = 288,021 × 288,021
  4. Step 4: Simplify right side
    131,496x = 82,956,096,441
  5. Step 5: Solve for x
    x = 82,956,096,441/131,496
  6. Step 6: Final answer
    x = 630,864.03

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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.