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Finding the Third Proportional to 146,503.69 and 297,082.69

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Solution

The third proportional to 146,503.69 and 297,082.69 is: 602,429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,503.69 : 297,082.69 = 297,082.69 : x
  2. Step 2: Convert to fraction form
    146,503.69/297,082.69 = 297,082.69/x
  3. Step 3: Cross multiply
    146,503.69x = 297,082.69 × 297,082.69
  4. Step 4: Simplify right side
    146,503.69x = 88,258,123,212.22
  5. Step 5: Solve for x
    x = 88,258,123,212.22/146,503.69
  6. Step 6: Final answer
    x = 602,429.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.