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Finding the Third Proportional to 185,064.50 and 401,839.75

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Solution

The third proportional to 185,064.50 and 401,839.75 is: 872,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,064.50 : 401,839.75 = 401,839.75 : x
  2. Step 2: Convert to fraction form
    185,064.50/401,839.75 = 401,839.75/x
  3. Step 3: Cross multiply
    185,064.50x = 401,839.75 × 401,839.75
  4. Step 4: Simplify right side
    185,064.50x = 161,475,184,680.06
  5. Step 5: Solve for x
    x = 161,475,184,680.06/185,064.50
  6. Step 6: Final answer
    x = 872,534.63

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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.