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Finding the Third Proportional to 235,174 and 354,948

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Solution

The third proportional to 235,174 and 354,948 is: 535,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,174 : 354,948 = 354,948 : x
  2. Step 2: Convert to fraction form
    235,174/354,948 = 354,948/x
  3. Step 3: Cross multiply
    235,174x = 354,948 × 354,948
  4. Step 4: Simplify right side
    235,174x = 125,988,082,704
  5. Step 5: Solve for x
    x = 125,988,082,704/235,174
  6. Step 6: Final answer
    x = 535,722.84

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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.