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Finding the Third Proportional to 149,643.75 and 323,026.50

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Solution

The third proportional to 149,643.75 and 323,026.50 is: 697,296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,643.75 : 323,026.50 = 323,026.50 : x
  2. Step 2: Convert to fraction form
    149,643.75/323,026.50 = 323,026.50/x
  3. Step 3: Cross multiply
    149,643.75x = 323,026.50 × 323,026.50
  4. Step 4: Simplify right side
    149,643.75x = 104,346,119,702.25
  5. Step 5: Solve for x
    x = 104,346,119,702.25/149,643.75
  6. Step 6: Final answer
    x = 697,296.88

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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.