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Finding the Third Proportional to 84,258 and 180,017

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Solution

The third proportional to 84,258 and 180,017 is: 384,605.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,258 : 180,017 = 180,017 : x
  2. Step 2: Convert to fraction form
    84,258/180,017 = 180,017/x
  3. Step 3: Cross multiply
    84,258x = 180,017 × 180,017
  4. Step 4: Simplify right side
    84,258x = 32,406,120,289
  5. Step 5: Solve for x
    x = 32,406,120,289/84,258
  6. Step 6: Final answer
    x = 384,605.86

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Why These Related Problems?

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