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Finding the Third Proportional to 155,630 and 236,523

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Solution

The third proportional to 155,630 and 236,523 is: 359,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,630 : 236,523 = 236,523 : x
  2. Step 2: Convert to fraction form
    155,630/236,523 = 236,523/x
  3. Step 3: Cross multiply
    155,630x = 236,523 × 236,523
  4. Step 4: Simplify right side
    155,630x = 55,943,129,529
  5. Step 5: Solve for x
    x = 55,943,129,529/155,630
  6. Step 6: Final answer
    x = 359,462.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.