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Finding the Third Proportional to 111,645 and 240,781.50

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Solution

The third proportional to 111,645 and 240,781.50 is: 519,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,645 : 240,781.50 = 240,781.50 : x
  2. Step 2: Convert to fraction form
    111,645/240,781.50 = 240,781.50/x
  3. Step 3: Cross multiply
    111,645x = 240,781.50 × 240,781.50
  4. Step 4: Simplify right side
    111,645x = 57,975,730,742.25
  5. Step 5: Solve for x
    x = 57,975,730,742.25/111,645
  6. Step 6: Final answer
    x = 519,286.41

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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.