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Finding the Third Proportional to 230,071.50 and 471,298.50

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Solution

The third proportional to 230,071.50 and 471,298.50 is: 965,448.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,071.50 : 471,298.50 = 471,298.50 : x
  2. Step 2: Convert to fraction form
    230,071.50/471,298.50 = 471,298.50/x
  3. Step 3: Cross multiply
    230,071.50x = 471,298.50 × 471,298.50
  4. Step 4: Simplify right side
    230,071.50x = 222,122,276,102.25
  5. Step 5: Solve for x
    x = 222,122,276,102.25/230,071.50
  6. Step 6: Final answer
    x = 965,448.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.