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Finding the Third Proportional to 161,974.69 and 238,417.17

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Solution

The third proportional to 161,974.69 and 238,417.17 is: 350,935.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,974.69 : 238,417.17 = 238,417.17 : x
  2. Step 2: Convert to fraction form
    161,974.69/238,417.17 = 238,417.17/x
  3. Step 3: Cross multiply
    161,974.69x = 238,417.17 × 238,417.17
  4. Step 4: Simplify right side
    161,974.69x = 56,842,747,844.87
  5. Step 5: Solve for x
    x = 56,842,747,844.87/161,974.69
  6. Step 6: Final answer
    x = 350,935.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.