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Finding the Third Proportional to 148,136 and 229,404

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Solution

The third proportional to 148,136 and 229,404 is: 355,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,136 : 229,404 = 229,404 : x
  2. Step 2: Convert to fraction form
    148,136/229,404 = 229,404/x
  3. Step 3: Cross multiply
    148,136x = 229,404 × 229,404
  4. Step 4: Simplify right side
    148,136x = 52,626,195,216
  5. Step 5: Solve for x
    x = 52,626,195,216/148,136
  6. Step 6: Final answer
    x = 355,255.95

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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.