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Finding the Third Proportional to 149,326.50 and 322,407

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Solution

The third proportional to 149,326.50 and 322,407 is: 696,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,326.50 : 322,407 = 322,407 : x
  2. Step 2: Convert to fraction form
    149,326.50/322,407 = 322,407/x
  3. Step 3: Cross multiply
    149,326.50x = 322,407 × 322,407
  4. Step 4: Simplify right side
    149,326.50x = 103,946,273,649
  5. Step 5: Solve for x
    x = 103,946,273,649/149,326.50
  6. Step 6: Final answer
    x = 696,100.65

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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.