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Finding the Third Proportional to 243,007 and 364,564

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Solution

The third proportional to 243,007 and 364,564 is: 546,926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,007 : 364,564 = 364,564 : x
  2. Step 2: Convert to fraction form
    243,007/364,564 = 364,564/x
  3. Step 3: Cross multiply
    243,007x = 364,564 × 364,564
  4. Step 4: Simplify right side
    243,007x = 132,906,910,096
  5. Step 5: Solve for x
    x = 132,906,910,096/243,007
  6. Step 6: Final answer
    x = 546,926.26

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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.