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Finding the Third Proportional to 243,013 and 364,518

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Solution

The third proportional to 243,013 and 364,518 is: 546,774.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,013 : 364,518 = 364,518 : x
  2. Step 2: Convert to fraction form
    243,013/364,518 = 364,518/x
  3. Step 3: Cross multiply
    243,013x = 364,518 × 364,518
  4. Step 4: Simplify right side
    243,013x = 132,873,372,324
  5. Step 5: Solve for x
    x = 132,873,372,324/243,013
  6. Step 6: Final answer
    x = 546,774.75

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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.