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Finding the Third Proportional to 140,354 and 203,160

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Solution

The third proportional to 140,354 and 203,160 is: 294,070.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,354 : 203,160 = 203,160 : x
  2. Step 2: Convert to fraction form
    140,354/203,160 = 203,160/x
  3. Step 3: Cross multiply
    140,354x = 203,160 × 203,160
  4. Step 4: Simplify right side
    140,354x = 41,273,985,600
  5. Step 5: Solve for x
    x = 41,273,985,600/140,354
  6. Step 6: Final answer
    x = 294,070.60

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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.