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Finding the Third Proportional to 88,304 and 208,300

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Solution

The third proportional to 88,304 and 208,300 is: 491,358.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,304 : 208,300 = 208,300 : x
  2. Step 2: Convert to fraction form
    88,304/208,300 = 208,300/x
  3. Step 3: Cross multiply
    88,304x = 208,300 × 208,300
  4. Step 4: Simplify right side
    88,304x = 43,388,890,000
  5. Step 5: Solve for x
    x = 43,388,890,000/88,304
  6. Step 6: Final answer
    x = 491,358.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.