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Finding the Third Proportional to 208,044 and 319,842

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Solution

The third proportional to 208,044 and 319,842 is: 491,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,044 : 319,842 = 319,842 : x
  2. Step 2: Convert to fraction form
    208,044/319,842 = 319,842/x
  3. Step 3: Cross multiply
    208,044x = 319,842 × 319,842
  4. Step 4: Simplify right side
    208,044x = 102,298,904,964
  5. Step 5: Solve for x
    x = 102,298,904,964/208,044
  6. Step 6: Final answer
    x = 491,717.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.