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Finding the Third Proportional to 337,187.81 and 736,158.38

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Solution

The third proportional to 337,187.81 and 736,158.38 is: 1,607,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,187.81 : 736,158.38 = 736,158.38 : x
  2. Step 2: Convert to fraction form
    337,187.81/736,158.38 = 736,158.38/x
  3. Step 3: Cross multiply
    337,187.81x = 736,158.38 × 736,158.38
  4. Step 4: Simplify right side
    337,187.81x = 541,929,153,082.64
  5. Step 5: Solve for x
    x = 541,929,153,082.64/337,187.81
  6. Step 6: Final answer
    x = 1,607,202.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.