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Finding the Third Proportional to 130,007 and 254,506

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Solution

The third proportional to 130,007 and 254,506 is: 498,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,007 : 254,506 = 254,506 : x
  2. Step 2: Convert to fraction form
    130,007/254,506 = 254,506/x
  3. Step 3: Cross multiply
    130,007x = 254,506 × 254,506
  4. Step 4: Simplify right side
    130,007x = 64,773,304,036
  5. Step 5: Solve for x
    x = 64,773,304,036/130,007
  6. Step 6: Final answer
    x = 498,229.36

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.