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Finding the Third Proportional to 222,023.53 and 459,280.13

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Solution

The third proportional to 222,023.53 and 459,280.13 is: 950,071.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,023.53 : 459,280.13 = 459,280.13 : x
  2. Step 2: Convert to fraction form
    222,023.53/459,280.13 = 459,280.13/x
  3. Step 3: Cross multiply
    222,023.53x = 459,280.13 × 459,280.13
  4. Step 4: Simplify right side
    222,023.53x = 210,938,233,220.02
  5. Step 5: Solve for x
    x = 210,938,233,220.02/222,023.53
  6. Step 6: Final answer
    x = 950,071.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.