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Finding the Third Proportional to 110,810 and 240,196

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Solution

The third proportional to 110,810 and 240,196 is: 520,658.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,810 : 240,196 = 240,196 : x
  2. Step 2: Convert to fraction form
    110,810/240,196 = 240,196/x
  3. Step 3: Cross multiply
    110,810x = 240,196 × 240,196
  4. Step 4: Simplify right side
    110,810x = 57,694,118,416
  5. Step 5: Solve for x
    x = 57,694,118,416/110,810
  6. Step 6: Final answer
    x = 520,658.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.