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Finding the Third Proportional to 145,234 and 233,974

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Solution

The third proportional to 145,234 and 233,974 is: 376,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,234 : 233,974 = 233,974 : x
  2. Step 2: Convert to fraction form
    145,234/233,974 = 233,974/x
  3. Step 3: Cross multiply
    145,234x = 233,974 × 233,974
  4. Step 4: Simplify right side
    145,234x = 54,743,832,676
  5. Step 5: Solve for x
    x = 54,743,832,676/145,234
  6. Step 6: Final answer
    x = 376,935.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.