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Finding the Third Proportional to 161,631 and 353,358

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Solution

The third proportional to 161,631 and 353,358 is: 772,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,631 : 353,358 = 353,358 : x
  2. Step 2: Convert to fraction form
    161,631/353,358 = 353,358/x
  3. Step 3: Cross multiply
    161,631x = 353,358 × 353,358
  4. Step 4: Simplify right side
    161,631x = 124,861,876,164
  5. Step 5: Solve for x
    x = 124,861,876,164/161,631
  6. Step 6: Final answer
    x = 772,511.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.