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Finding the Third Proportional to 131,489 and 288,008

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Solution

The third proportional to 131,489 and 288,008 is: 630,840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,489 : 288,008 = 288,008 : x
  2. Step 2: Convert to fraction form
    131,489/288,008 = 288,008/x
  3. Step 3: Cross multiply
    131,489x = 288,008 × 288,008
  4. Step 4: Simplify right side
    131,489x = 82,948,608,064
  5. Step 5: Solve for x
    x = 82,948,608,064/131,489
  6. Step 6: Final answer
    x = 630,840.66

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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.