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Finding the Third Proportional to 252,234 and 368,651

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Solution

The third proportional to 252,234 and 368,651 is: 538,799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,234 : 368,651 = 368,651 : x
  2. Step 2: Convert to fraction form
    252,234/368,651 = 368,651/x
  3. Step 3: Cross multiply
    252,234x = 368,651 × 368,651
  4. Step 4: Simplify right side
    252,234x = 135,903,559,801
  5. Step 5: Solve for x
    x = 135,903,559,801/252,234
  6. Step 6: Final answer
    x = 538,799.53

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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.