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Finding the Third Proportional to 149,810 and 322,924

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Solution

The third proportional to 149,810 and 322,924 is: 696,081.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,810 : 322,924 = 322,924 : x
  2. Step 2: Convert to fraction form
    149,810/322,924 = 322,924/x
  3. Step 3: Cross multiply
    149,810x = 322,924 × 322,924
  4. Step 4: Simplify right side
    149,810x = 104,279,909,776
  5. Step 5: Solve for x
    x = 104,279,909,776/149,810
  6. Step 6: Final answer
    x = 696,081.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.