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Finding the Third Proportional to 243,514 and 364,280

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Solution

The third proportional to 243,514 and 364,280 is: 544,937.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,514 : 364,280 = 364,280 : x
  2. Step 2: Convert to fraction form
    243,514/364,280 = 364,280/x
  3. Step 3: Cross multiply
    243,514x = 364,280 × 364,280
  4. Step 4: Simplify right side
    243,514x = 132,699,918,400
  5. Step 5: Solve for x
    x = 132,699,918,400/243,514
  6. Step 6: Final answer
    x = 544,937.53

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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.