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Finding the Third Proportional to 107,796 and 232,800

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Solution

The third proportional to 107,796 and 232,800 is: 502,763.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,796 : 232,800 = 232,800 : x
  2. Step 2: Convert to fraction form
    107,796/232,800 = 232,800/x
  3. Step 3: Cross multiply
    107,796x = 232,800 × 232,800
  4. Step 4: Simplify right side
    107,796x = 54,195,840,000
  5. Step 5: Solve for x
    x = 54,195,840,000/107,796
  6. Step 6: Final answer
    x = 502,763.00

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