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Finding the Third Proportional to 140,974 and 303,952

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Solution

The third proportional to 140,974 and 303,952 is: 655,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,974 : 303,952 = 303,952 : x
  2. Step 2: Convert to fraction form
    140,974/303,952 = 303,952/x
  3. Step 3: Cross multiply
    140,974x = 303,952 × 303,952
  4. Step 4: Simplify right side
    140,974x = 92,386,818,304
  5. Step 5: Solve for x
    x = 92,386,818,304/140,974
  6. Step 6: Final answer
    x = 655,346.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.