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Finding the Third Proportional to 149,394 and 236,670

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Solution

The third proportional to 149,394 and 236,670 is: 374,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,394 : 236,670 = 236,670 : x
  2. Step 2: Convert to fraction form
    149,394/236,670 = 236,670/x
  3. Step 3: Cross multiply
    149,394x = 236,670 × 236,670
  4. Step 4: Simplify right side
    149,394x = 56,012,688,900
  5. Step 5: Solve for x
    x = 56,012,688,900/149,394
  6. Step 6: Final answer
    x = 374,932.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.