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Finding the Third Proportional to 84,606 and 183,792

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Solution

The third proportional to 84,606 and 183,792 is: 399,256.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,606 : 183,792 = 183,792 : x
  2. Step 2: Convert to fraction form
    84,606/183,792 = 183,792/x
  3. Step 3: Cross multiply
    84,606x = 183,792 × 183,792
  4. Step 4: Simplify right side
    84,606x = 33,779,499,264
  5. Step 5: Solve for x
    x = 33,779,499,264/84,606
  6. Step 6: Final answer
    x = 399,256.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.