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Finding the Third Proportional to 148,068 and 229,023

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Solution

The third proportional to 148,068 and 229,023 is: 354,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,068 : 229,023 = 229,023 : x
  2. Step 2: Convert to fraction form
    148,068/229,023 = 229,023/x
  3. Step 3: Cross multiply
    148,068x = 229,023 × 229,023
  4. Step 4: Simplify right side
    148,068x = 52,451,534,529
  5. Step 5: Solve for x
    x = 52,451,534,529/148,068
  6. Step 6: Final answer
    x = 354,239.50

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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.