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Finding the Third Proportional to 110,685 and 237,150

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Solution

The third proportional to 110,685 and 237,150 is: 508,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,685 : 237,150 = 237,150 : x
  2. Step 2: Convert to fraction form
    110,685/237,150 = 237,150/x
  3. Step 3: Cross multiply
    110,685x = 237,150 × 237,150
  4. Step 4: Simplify right side
    110,685x = 56,240,122,500
  5. Step 5: Solve for x
    x = 56,240,122,500/110,685
  6. Step 6: Final answer
    x = 508,109.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.