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Finding the Third Proportional to 108,292 and 160,304

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Solution

The third proportional to 108,292 and 160,304 is: 237,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,292 : 160,304 = 160,304 : x
  2. Step 2: Convert to fraction form
    108,292/160,304 = 160,304/x
  3. Step 3: Cross multiply
    108,292x = 160,304 × 160,304
  4. Step 4: Simplify right side
    108,292x = 25,697,372,416
  5. Step 5: Solve for x
    x = 25,697,372,416/108,292
  6. Step 6: Final answer
    x = 237,297.05

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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.