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Finding the Third Proportional to 84,499 and 183,595

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Solution

The third proportional to 84,499 and 183,595 is: 398,905.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,499 : 183,595 = 183,595 : x
  2. Step 2: Convert to fraction form
    84,499/183,595 = 183,595/x
  3. Step 3: Cross multiply
    84,499x = 183,595 × 183,595
  4. Step 4: Simplify right side
    84,499x = 33,707,124,025
  5. Step 5: Solve for x
    x = 33,707,124,025/84,499
  6. Step 6: Final answer
    x = 398,905.60

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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.