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Finding the Third Proportional to 110,780 and 243,703

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Solution

The third proportional to 110,780 and 243,703 is: 536,118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,780 : 243,703 = 243,703 : x
  2. Step 2: Convert to fraction form
    110,780/243,703 = 243,703/x
  3. Step 3: Cross multiply
    110,780x = 243,703 × 243,703
  4. Step 4: Simplify right side
    110,780x = 59,391,152,209
  5. Step 5: Solve for x
    x = 59,391,152,209/110,780
  6. Step 6: Final answer
    x = 536,118.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.