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Finding the Third Proportional to 148,029 and 219,492

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Solution

The third proportional to 148,029 and 219,492 is: 325,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,029 : 219,492 = 219,492 : x
  2. Step 2: Convert to fraction form
    148,029/219,492 = 219,492/x
  3. Step 3: Cross multiply
    148,029x = 219,492 × 219,492
  4. Step 4: Simplify right side
    148,029x = 48,176,738,064
  5. Step 5: Solve for x
    x = 48,176,738,064/148,029
  6. Step 6: Final answer
    x = 325,454.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.