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Finding the Third Proportional to 153,702 and 325,644

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Solution

The third proportional to 153,702 and 325,644 is: 689,932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,702 : 325,644 = 325,644 : x
  2. Step 2: Convert to fraction form
    153,702/325,644 = 325,644/x
  3. Step 3: Cross multiply
    153,702x = 325,644 × 325,644
  4. Step 4: Simplify right side
    153,702x = 106,044,014,736
  5. Step 5: Solve for x
    x = 106,044,014,736/153,702
  6. Step 6: Final answer
    x = 689,932.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.