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Finding the Third Proportional to 140,681.25 and 311,769

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Solution

The third proportional to 140,681.25 and 311,769 is: 690,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,681.25 : 311,769 = 311,769 : x
  2. Step 2: Convert to fraction form
    140,681.25/311,769 = 311,769/x
  3. Step 3: Cross multiply
    140,681.25x = 311,769 × 311,769
  4. Step 4: Simplify right side
    140,681.25x = 97,199,909,361
  5. Step 5: Solve for x
    x = 97,199,909,361/140,681.25
  6. Step 6: Final answer
    x = 690,922.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.