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Finding the Third Proportional to 238,088 and 360,204

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Solution

The third proportional to 238,088 and 360,204 is: 544,953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,088 : 360,204 = 360,204 : x
  2. Step 2: Convert to fraction form
    238,088/360,204 = 360,204/x
  3. Step 3: Cross multiply
    238,088x = 360,204 × 360,204
  4. Step 4: Simplify right side
    238,088x = 129,746,921,616
  5. Step 5: Solve for x
    x = 129,746,921,616/238,088
  6. Step 6: Final answer
    x = 544,953.64

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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.