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Finding the Third Proportional to 153,971 and 330,860

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Solution

The third proportional to 153,971 and 330,860 is: 710,967.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,971 : 330,860 = 330,860 : x
  2. Step 2: Convert to fraction form
    153,971/330,860 = 330,860/x
  3. Step 3: Cross multiply
    153,971x = 330,860 × 330,860
  4. Step 4: Simplify right side
    153,971x = 109,468,339,600
  5. Step 5: Solve for x
    x = 109,468,339,600/153,971
  6. Step 6: Final answer
    x = 710,967.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.