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Finding the Third Proportional to 130,902 and 271,518

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Solution

The third proportional to 130,902 and 271,518 is: 563,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,902 : 271,518 = 271,518 : x
  2. Step 2: Convert to fraction form
    130,902/271,518 = 271,518/x
  3. Step 3: Cross multiply
    130,902x = 271,518 × 271,518
  4. Step 4: Simplify right side
    130,902x = 73,722,024,324
  5. Step 5: Solve for x
    x = 73,722,024,324/130,902
  6. Step 6: Final answer
    x = 563,184.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.