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Finding the Third Proportional to 161,376 and 350,784

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Solution

The third proportional to 161,376 and 350,784 is: 762,501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,376 : 350,784 = 350,784 : x
  2. Step 2: Convert to fraction form
    161,376/350,784 = 350,784/x
  3. Step 3: Cross multiply
    161,376x = 350,784 × 350,784
  4. Step 4: Simplify right side
    161,376x = 123,049,414,656
  5. Step 5: Solve for x
    x = 123,049,414,656/161,376
  6. Step 6: Final answer
    x = 762,501.33

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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.