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Finding the Third Proportional to 235,082.25 and 354,810.38

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Solution

The third proportional to 235,082.25 and 354,810.38 is: 535,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,082.25 : 354,810.38 = 354,810.38 : x
  2. Step 2: Convert to fraction form
    235,082.25/354,810.38 = 354,810.38/x
  3. Step 3: Cross multiply
    235,082.25x = 354,810.38 × 354,810.38
  4. Step 4: Simplify right side
    235,082.25x = 125,890,402,207.64
  5. Step 5: Solve for x
    x = 125,890,402,207.64/235,082.25
  6. Step 6: Final answer
    x = 535,516.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.