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Finding the Third Proportional to 110,842 and 243,230

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Solution

The third proportional to 110,842 and 243,230 is: 533,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,842 : 243,230 = 243,230 : x
  2. Step 2: Convert to fraction form
    110,842/243,230 = 243,230/x
  3. Step 3: Cross multiply
    110,842x = 243,230 × 243,230
  4. Step 4: Simplify right side
    110,842x = 59,160,832,900
  5. Step 5: Solve for x
    x = 59,160,832,900/110,842
  6. Step 6: Final answer
    x = 533,740.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.