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Finding the Third Proportional to 112,354 and 238,559

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Solution

The third proportional to 112,354 and 238,559 is: 506,527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,354 : 238,559 = 238,559 : x
  2. Step 2: Convert to fraction form
    112,354/238,559 = 238,559/x
  3. Step 3: Cross multiply
    112,354x = 238,559 × 238,559
  4. Step 4: Simplify right side
    112,354x = 56,910,396,481
  5. Step 5: Solve for x
    x = 56,910,396,481/112,354
  6. Step 6: Final answer
    x = 506,527.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.