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Finding the Third Proportional to 130,177.13 and 270,722.25

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Solution

The third proportional to 130,177.13 and 270,722.25 is: 563,006.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,177.13 : 270,722.25 = 270,722.25 : x
  2. Step 2: Convert to fraction form
    130,177.13/270,722.25 = 270,722.25/x
  3. Step 3: Cross multiply
    130,177.13x = 270,722.25 × 270,722.25
  4. Step 4: Simplify right side
    130,177.13x = 73,290,536,645.06
  5. Step 5: Solve for x
    x = 73,290,536,645.06/130,177.13
  6. Step 6: Final answer
    x = 563,006.26

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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.