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Finding the Third Proportional to 112,370 and 241,416

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Solution

The third proportional to 112,370 and 241,416 is: 518,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,370 : 241,416 = 241,416 : x
  2. Step 2: Convert to fraction form
    112,370/241,416 = 241,416/x
  3. Step 3: Cross multiply
    112,370x = 241,416 × 241,416
  4. Step 4: Simplify right side
    112,370x = 58,281,685,056
  5. Step 5: Solve for x
    x = 58,281,685,056/112,370
  6. Step 6: Final answer
    x = 518,658.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.