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Finding the Third Proportional to 222,657 and 453,088.50

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Solution

The third proportional to 222,657 and 453,088.50 is: 921,997.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,657 : 453,088.50 = 453,088.50 : x
  2. Step 2: Convert to fraction form
    222,657/453,088.50 = 453,088.50/x
  3. Step 3: Cross multiply
    222,657x = 453,088.50 × 453,088.50
  4. Step 4: Simplify right side
    222,657x = 205,289,188,832.25
  5. Step 5: Solve for x
    x = 205,289,188,832.25/222,657
  6. Step 6: Final answer
    x = 921,997.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.