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Finding the Third Proportional to 181,106 and 393,347

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Solution

The third proportional to 181,106 and 393,347 is: 854,316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,106 : 393,347 = 393,347 : x
  2. Step 2: Convert to fraction form
    181,106/393,347 = 393,347/x
  3. Step 3: Cross multiply
    181,106x = 393,347 × 393,347
  4. Step 4: Simplify right side
    181,106x = 154,721,862,409
  5. Step 5: Solve for x
    x = 154,721,862,409/181,106
  6. Step 6: Final answer
    x = 854,316.60

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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.