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Finding the Third Proportional to 220,324 and 297,268.50

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Solution

The third proportional to 220,324 and 297,268.50 is: 401,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,324 : 297,268.50 = 297,268.50 : x
  2. Step 2: Convert to fraction form
    220,324/297,268.50 = 297,268.50/x
  3. Step 3: Cross multiply
    220,324x = 297,268.50 × 297,268.50
  4. Step 4: Simplify right side
    220,324x = 88,368,561,092.25
  5. Step 5: Solve for x
    x = 88,368,561,092.25/220,324
  6. Step 6: Final answer
    x = 401,084.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.