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Finding the Third Proportional to 200,464 and 319,670

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Solution

The third proportional to 200,464 and 319,670 is: 509,761.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,464 : 319,670 = 319,670 : x
  2. Step 2: Convert to fraction form
    200,464/319,670 = 319,670/x
  3. Step 3: Cross multiply
    200,464x = 319,670 × 319,670
  4. Step 4: Simplify right side
    200,464x = 102,188,908,900
  5. Step 5: Solve for x
    x = 102,188,908,900/200,464
  6. Step 6: Final answer
    x = 509,761.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.