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Finding the Third Proportional to 84,146 and 181,444

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Solution

The third proportional to 84,146 and 181,444 is: 391,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,146 : 181,444 = 181,444 : x
  2. Step 2: Convert to fraction form
    84,146/181,444 = 181,444/x
  3. Step 3: Cross multiply
    84,146x = 181,444 × 181,444
  4. Step 4: Simplify right side
    84,146x = 32,921,925,136
  5. Step 5: Solve for x
    x = 32,921,925,136/84,146
  6. Step 6: Final answer
    x = 391,247.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.