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Finding the Third Proportional to 111,312 and 246,636

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Solution

The third proportional to 111,312 and 246,636 is: 546,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,312 : 246,636 = 246,636 : x
  2. Step 2: Convert to fraction form
    111,312/246,636 = 246,636/x
  3. Step 3: Cross multiply
    111,312x = 246,636 × 246,636
  4. Step 4: Simplify right side
    111,312x = 60,829,316,496
  5. Step 5: Solve for x
    x = 60,829,316,496/111,312
  6. Step 6: Final answer
    x = 546,475.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.