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Finding the Third Proportional to 252,449.16 and 368,909.44

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Solution

The third proportional to 252,449.16 and 368,909.44 is: 539,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,449.16 : 368,909.44 = 368,909.44 : x
  2. Step 2: Convert to fraction form
    252,449.16/368,909.44 = 368,909.44/x
  3. Step 3: Cross multiply
    252,449.16x = 368,909.44 × 368,909.44
  4. Step 4: Simplify right side
    252,449.16x = 136,094,173,076.57
  5. Step 5: Solve for x
    x = 136,094,173,076.57/252,449.16
  6. Step 6: Final answer
    x = 539,095.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.