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Finding the Third Proportional to 243,540 and 364,320

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Solution

The third proportional to 243,540 and 364,320 is: 544,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,540 : 364,320 = 364,320 : x
  2. Step 2: Convert to fraction form
    243,540/364,320 = 364,320/x
  3. Step 3: Cross multiply
    243,540x = 364,320 × 364,320
  4. Step 4: Simplify right side
    243,540x = 132,729,062,400
  5. Step 5: Solve for x
    x = 132,729,062,400/243,540
  6. Step 6: Final answer
    x = 544,999.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.