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Finding the Third Proportional to 89,120 and 208,304

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Solution

The third proportional to 89,120 and 208,304 is: 486,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,120 : 208,304 = 208,304 : x
  2. Step 2: Convert to fraction form
    89,120/208,304 = 208,304/x
  3. Step 3: Cross multiply
    89,120x = 208,304 × 208,304
  4. Step 4: Simplify right side
    89,120x = 43,390,556,416
  5. Step 5: Solve for x
    x = 43,390,556,416/89,120
  6. Step 6: Final answer
    x = 486,877.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.