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Finding the Third Proportional to 140,984 and 296,750

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Solution

The third proportional to 140,984 and 296,750 is: 624,613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,984 : 296,750 = 296,750 : x
  2. Step 2: Convert to fraction form
    140,984/296,750 = 296,750/x
  3. Step 3: Cross multiply
    140,984x = 296,750 × 296,750
  4. Step 4: Simplify right side
    140,984x = 88,060,562,500
  5. Step 5: Solve for x
    x = 88,060,562,500/140,984
  6. Step 6: Final answer
    x = 624,613.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.