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Finding the Third Proportional to 130,002 and 281,326

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Solution

The third proportional to 130,002 and 281,326 is: 608,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,002 : 281,326 = 281,326 : x
  2. Step 2: Convert to fraction form
    130,002/281,326 = 281,326/x
  3. Step 3: Cross multiply
    130,002x = 281,326 × 281,326
  4. Step 4: Simplify right side
    130,002x = 79,144,318,276
  5. Step 5: Solve for x
    x = 79,144,318,276/130,002
  6. Step 6: Final answer
    x = 608,793.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.