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Finding the Third Proportional to 161,668 and 351,316

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Solution

The third proportional to 161,668 and 351,316 is: 763,434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,668 : 351,316 = 351,316 : x
  2. Step 2: Convert to fraction form
    161,668/351,316 = 351,316/x
  3. Step 3: Cross multiply
    161,668x = 351,316 × 351,316
  4. Step 4: Simplify right side
    161,668x = 123,422,931,856
  5. Step 5: Solve for x
    x = 123,422,931,856/161,668
  6. Step 6: Final answer
    x = 763,434.52

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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.