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Finding the Third Proportional to 112,836 and 247,814

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Solution

The third proportional to 112,836 and 247,814 is: 544,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,836 : 247,814 = 247,814 : x
  2. Step 2: Convert to fraction form
    112,836/247,814 = 247,814/x
  3. Step 3: Cross multiply
    112,836x = 247,814 × 247,814
  4. Step 4: Simplify right side
    112,836x = 61,411,778,596
  5. Step 5: Solve for x
    x = 61,411,778,596/112,836
  6. Step 6: Final answer
    x = 544,256.96

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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.