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Finding the Third Proportional to 148,314 and 229,842

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Solution

The third proportional to 148,314 and 229,842 is: 356,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,314 : 229,842 = 229,842 : x
  2. Step 2: Convert to fraction form
    148,314/229,842 = 229,842/x
  3. Step 3: Cross multiply
    148,314x = 229,842 × 229,842
  4. Step 4: Simplify right side
    148,314x = 52,827,344,964
  5. Step 5: Solve for x
    x = 52,827,344,964/148,314
  6. Step 6: Final answer
    x = 356,185.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.