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Finding the Third Proportional to 222,925.50 and 485,217

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Solution

The third proportional to 222,925.50 and 485,217 is: 1,056,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,925.50 : 485,217 = 485,217 : x
  2. Step 2: Convert to fraction form
    222,925.50/485,217 = 485,217/x
  3. Step 3: Cross multiply
    222,925.50x = 485,217 × 485,217
  4. Step 4: Simplify right side
    222,925.50x = 235,435,537,089
  5. Step 5: Solve for x
    x = 235,435,537,089/222,925.50
  6. Step 6: Final answer
    x = 1,056,117.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.