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Finding the Third Proportional to 210,533.20 and 323,608.08

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Solution

The third proportional to 210,533.20 and 323,608.08 is: 497,414.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,533.20 : 323,608.08 = 323,608.08 : x
  2. Step 2: Convert to fraction form
    210,533.20/323,608.08 = 323,608.08/x
  3. Step 3: Cross multiply
    210,533.20x = 323,608.08 × 323,608.08
  4. Step 4: Simplify right side
    210,533.20x = 104,722,188,227.76
  5. Step 5: Solve for x
    x = 104,722,188,227.76/210,533.20
  6. Step 6: Final answer
    x = 497,414.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.