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Finding the Third Proportional to 140,348 and 223,100

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Solution

The third proportional to 140,348 and 223,100 is: 354,644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,348 : 223,100 = 223,100 : x
  2. Step 2: Convert to fraction form
    140,348/223,100 = 223,100/x
  3. Step 3: Cross multiply
    140,348x = 223,100 × 223,100
  4. Step 4: Simplify right side
    140,348x = 49,773,610,000
  5. Step 5: Solve for x
    x = 49,773,610,000/140,348
  6. Step 6: Final answer
    x = 354,644.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.