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Finding the Third Proportional to 140,563.13 and 200,329.88

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Solution

The third proportional to 140,563.13 and 200,329.88 is: 285,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,563.13 : 200,329.88 = 200,329.88 : x
  2. Step 2: Convert to fraction form
    140,563.13/200,329.88 = 200,329.88/x
  3. Step 3: Cross multiply
    140,563.13x = 200,329.88 × 200,329.88
  4. Step 4: Simplify right side
    140,563.13x = 40,132,058,817.52
  5. Step 5: Solve for x
    x = 40,132,058,817.52/140,563.13
  6. Step 6: Final answer
    x = 285,509.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.