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Finding the Third Proportional to 107,442 and 234,000

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Solution

The third proportional to 107,442 and 234,000 is: 509,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,442 : 234,000 = 234,000 : x
  2. Step 2: Convert to fraction form
    107,442/234,000 = 234,000/x
  3. Step 3: Cross multiply
    107,442x = 234,000 × 234,000
  4. Step 4: Simplify right side
    107,442x = 54,756,000,000
  5. Step 5: Solve for x
    x = 54,756,000,000/107,442
  6. Step 6: Final answer
    x = 509,633.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.