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Finding the Third Proportional to 151,352 and 328,948

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Solution

The third proportional to 151,352 and 328,948 is: 714,934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,352 : 328,948 = 328,948 : x
  2. Step 2: Convert to fraction form
    151,352/328,948 = 328,948/x
  3. Step 3: Cross multiply
    151,352x = 328,948 × 328,948
  4. Step 4: Simplify right side
    151,352x = 108,206,786,704
  5. Step 5: Solve for x
    x = 108,206,786,704/151,352
  6. Step 6: Final answer
    x = 714,934.63

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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.