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Finding the Third Proportional to 130,184.25 and 270,734.25

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Solution

The third proportional to 130,184.25 and 270,734.25 is: 563,025.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,184.25 : 270,734.25 = 270,734.25 : x
  2. Step 2: Convert to fraction form
    130,184.25/270,734.25 = 270,734.25/x
  3. Step 3: Cross multiply
    130,184.25x = 270,734.25 × 270,734.25
  4. Step 4: Simplify right side
    130,184.25x = 73,297,034,123.06
  5. Step 5: Solve for x
    x = 73,297,034,123.06/130,184.25
  6. Step 6: Final answer
    x = 563,025.36

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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.