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Finding the Third Proportional to 120,429 and 250,416

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Solution

The third proportional to 120,429 and 250,416 is: 520,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,429 : 250,416 = 250,416 : x
  2. Step 2: Convert to fraction form
    120,429/250,416 = 250,416/x
  3. Step 3: Cross multiply
    120,429x = 250,416 × 250,416
  4. Step 4: Simplify right side
    120,429x = 62,708,173,056
  5. Step 5: Solve for x
    x = 62,708,173,056/120,429
  6. Step 6: Final answer
    x = 520,706.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.