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Finding the Third Proportional to 152,969 and 332,206

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Solution

The third proportional to 152,969 and 332,206 is: 721,458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,969 : 332,206 = 332,206 : x
  2. Step 2: Convert to fraction form
    152,969/332,206 = 332,206/x
  3. Step 3: Cross multiply
    152,969x = 332,206 × 332,206
  4. Step 4: Simplify right side
    152,969x = 110,360,826,436
  5. Step 5: Solve for x
    x = 110,360,826,436/152,969
  6. Step 6: Final answer
    x = 721,458.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.