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Finding the Third Proportional to 112,324 and 243,344

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Solution

The third proportional to 112,324 and 243,344 is: 527,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,324 : 243,344 = 243,344 : x
  2. Step 2: Convert to fraction form
    112,324/243,344 = 243,344/x
  3. Step 3: Cross multiply
    112,324x = 243,344 × 243,344
  4. Step 4: Simplify right side
    112,324x = 59,216,302,336
  5. Step 5: Solve for x
    x = 59,216,302,336/112,324
  6. Step 6: Final answer
    x = 527,191.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.