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Finding the Third Proportional to 238,096 and 360,216

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Solution

The third proportional to 238,096 and 360,216 is: 544,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,096 : 360,216 = 360,216 : x
  2. Step 2: Convert to fraction form
    238,096/360,216 = 360,216/x
  3. Step 3: Cross multiply
    238,096x = 360,216 × 360,216
  4. Step 4: Simplify right side
    238,096x = 129,755,566,656
  5. Step 5: Solve for x
    x = 129,755,566,656/238,096
  6. Step 6: Final answer
    x = 544,971.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.