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Finding the Third Proportional to 195,633 and 310,959

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Solution

The third proportional to 195,633 and 310,959 is: 494,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,633 : 310,959 = 310,959 : x
  2. Step 2: Convert to fraction form
    195,633/310,959 = 310,959/x
  3. Step 3: Cross multiply
    195,633x = 310,959 × 310,959
  4. Step 4: Simplify right side
    195,633x = 96,695,499,681
  5. Step 5: Solve for x
    x = 96,695,499,681/195,633
  6. Step 6: Final answer
    x = 494,269.88

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.