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Finding the Third Proportional to 150,468 and 326,853

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Solution

The third proportional to 150,468 and 326,853 is: 710,004.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,468 : 326,853 = 326,853 : x
  2. Step 2: Convert to fraction form
    150,468/326,853 = 326,853/x
  3. Step 3: Cross multiply
    150,468x = 326,853 × 326,853
  4. Step 4: Simplify right side
    150,468x = 106,832,883,609
  5. Step 5: Solve for x
    x = 106,832,883,609/150,468
  6. Step 6: Final answer
    x = 710,004.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.