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Finding the Third Proportional to 131,044 and 272,456

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Solution

The third proportional to 131,044 and 272,456 is: 566,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,044 : 272,456 = 272,456 : x
  2. Step 2: Convert to fraction form
    131,044/272,456 = 272,456/x
  3. Step 3: Cross multiply
    131,044x = 272,456 × 272,456
  4. Step 4: Simplify right side
    131,044x = 74,232,271,936
  5. Step 5: Solve for x
    x = 74,232,271,936/131,044
  6. Step 6: Final answer
    x = 566,468.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.