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Finding the Third Proportional to 112,370 and 241,415

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Solution

The third proportional to 112,370 and 241,415 is: 518,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,370 : 241,415 = 241,415 : x
  2. Step 2: Convert to fraction form
    112,370/241,415 = 241,415/x
  3. Step 3: Cross multiply
    112,370x = 241,415 × 241,415
  4. Step 4: Simplify right side
    112,370x = 58,281,202,225
  5. Step 5: Solve for x
    x = 58,281,202,225/112,370
  6. Step 6: Final answer
    x = 518,654.46

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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.