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Finding the Third Proportional to 112,588 and 247,320

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Solution

The third proportional to 112,588 and 247,320 is: 543,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,588 : 247,320 = 247,320 : x
  2. Step 2: Convert to fraction form
    112,588/247,320 = 247,320/x
  3. Step 3: Cross multiply
    112,588x = 247,320 × 247,320
  4. Step 4: Simplify right side
    112,588x = 61,167,182,400
  5. Step 5: Solve for x
    x = 61,167,182,400/112,588
  6. Step 6: Final answer
    x = 543,283.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.