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Finding the Third Proportional to 131,487 and 288,004

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Solution

The third proportional to 131,487 and 288,004 is: 630,832.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,487 : 288,004 = 288,004 : x
  2. Step 2: Convert to fraction form
    131,487/288,004 = 288,004/x
  3. Step 3: Cross multiply
    131,487x = 288,004 × 288,004
  4. Step 4: Simplify right side
    131,487x = 82,946,304,016
  5. Step 5: Solve for x
    x = 82,946,304,016/131,487
  6. Step 6: Final answer
    x = 630,832.74

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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.