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Finding the Third Proportional to 108,288 and 160,299

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Solution

The third proportional to 108,288 and 160,299 is: 237,291.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,288 : 160,299 = 160,299 : x
  2. Step 2: Convert to fraction form
    108,288/160,299 = 160,299/x
  3. Step 3: Cross multiply
    108,288x = 160,299 × 160,299
  4. Step 4: Simplify right side
    108,288x = 25,695,769,401
  5. Step 5: Solve for x
    x = 25,695,769,401/108,288
  6. Step 6: Final answer
    x = 237,291.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.