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Finding the Third Proportional to 180,862 and 286,608

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Solution

The third proportional to 180,862 and 286,608 is: 454,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,862 : 286,608 = 286,608 : x
  2. Step 2: Convert to fraction form
    180,862/286,608 = 286,608/x
  3. Step 3: Cross multiply
    180,862x = 286,608 × 286,608
  4. Step 4: Simplify right side
    180,862x = 82,144,145,664
  5. Step 5: Solve for x
    x = 82,144,145,664/180,862
  6. Step 6: Final answer
    x = 454,181.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.