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Finding the Third Proportional to 161,670 and 352,708

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Solution

The third proportional to 161,670 and 352,708 is: 769,486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,670 : 352,708 = 352,708 : x
  2. Step 2: Convert to fraction form
    161,670/352,708 = 352,708/x
  3. Step 3: Cross multiply
    161,670x = 352,708 × 352,708
  4. Step 4: Simplify right side
    161,670x = 124,402,933,264
  5. Step 5: Solve for x
    x = 124,402,933,264/161,670
  6. Step 6: Final answer
    x = 769,486.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.