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Finding the Third Proportional to 107,080 and 230,448

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Solution

The third proportional to 107,080 and 230,448 is: 495,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,080 : 230,448 = 230,448 : x
  2. Step 2: Convert to fraction form
    107,080/230,448 = 230,448/x
  3. Step 3: Cross multiply
    107,080x = 230,448 × 230,448
  4. Step 4: Simplify right side
    107,080x = 53,106,280,704
  5. Step 5: Solve for x
    x = 53,106,280,704/107,080
  6. Step 6: Final answer
    x = 495,949.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.