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Finding the Third Proportional to 140,352 and 203,157

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Solution

The third proportional to 140,352 and 203,157 is: 294,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,352 : 203,157 = 203,157 : x
  2. Step 2: Convert to fraction form
    140,352/203,157 = 203,157/x
  3. Step 3: Cross multiply
    140,352x = 203,157 × 203,157
  4. Step 4: Simplify right side
    140,352x = 41,272,766,649
  5. Step 5: Solve for x
    x = 41,272,766,649/140,352
  6. Step 6: Final answer
    x = 294,066.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.