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Finding the Third Proportional to 111,423 and 240,170

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Solution

The third proportional to 111,423 and 240,170 is: 517,681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,423 : 240,170 = 240,170 : x
  2. Step 2: Convert to fraction form
    111,423/240,170 = 240,170/x
  3. Step 3: Cross multiply
    111,423x = 240,170 × 240,170
  4. Step 4: Simplify right side
    111,423x = 57,681,628,900
  5. Step 5: Solve for x
    x = 57,681,628,900/111,423
  6. Step 6: Final answer
    x = 517,681.53

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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.