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Finding the Third Proportional to 108,487 and 235,017

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Solution

The third proportional to 108,487 and 235,017 is: 509,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,487 : 235,017 = 235,017 : x
  2. Step 2: Convert to fraction form
    108,487/235,017 = 235,017/x
  3. Step 3: Cross multiply
    108,487x = 235,017 × 235,017
  4. Step 4: Simplify right side
    108,487x = 55,232,990,289
  5. Step 5: Solve for x
    x = 55,232,990,289/108,487
  6. Step 6: Final answer
    x = 509,120.82

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Why These Related Problems?

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