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Finding the Third Proportional to 140,053.50 and 307,314

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Solution

The third proportional to 140,053.50 and 307,314 is: 674,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,053.50 : 307,314 = 307,314 : x
  2. Step 2: Convert to fraction form
    140,053.50/307,314 = 307,314/x
  3. Step 3: Cross multiply
    140,053.50x = 307,314 × 307,314
  4. Step 4: Simplify right side
    140,053.50x = 94,441,894,596
  5. Step 5: Solve for x
    x = 94,441,894,596/140,053.50
  6. Step 6: Final answer
    x = 674,327.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.