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Finding the Third Proportional to 88,032 and 183,360

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Solution

The third proportional to 88,032 and 183,360 is: 381,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,032 : 183,360 = 183,360 : x
  2. Step 2: Convert to fraction form
    88,032/183,360 = 183,360/x
  3. Step 3: Cross multiply
    88,032x = 183,360 × 183,360
  4. Step 4: Simplify right side
    88,032x = 33,620,889,600
  5. Step 5: Solve for x
    x = 33,620,889,600/88,032
  6. Step 6: Final answer
    x = 381,916.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.