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Finding the Third Proportional to 149,266.13 and 312,373.13

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Solution

The third proportional to 149,266.13 and 312,373.13 is: 653,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,266.13 : 312,373.13 = 312,373.13 : x
  2. Step 2: Convert to fraction form
    149,266.13/312,373.13 = 312,373.13/x
  3. Step 3: Cross multiply
    149,266.13x = 312,373.13 × 312,373.13
  4. Step 4: Simplify right side
    149,266.13x = 97,576,969,222.27
  5. Step 5: Solve for x
    x = 97,576,969,222.27/149,266.13
  6. Step 6: Final answer
    x = 653,711.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.