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Finding the Third Proportional to 155,514 and 320,842

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Solution

The third proportional to 155,514 and 320,842 is: 661,931.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,514 : 320,842 = 320,842 : x
  2. Step 2: Convert to fraction form
    155,514/320,842 = 320,842/x
  3. Step 3: Cross multiply
    155,514x = 320,842 × 320,842
  4. Step 4: Simplify right side
    155,514x = 102,939,588,964
  5. Step 5: Solve for x
    x = 102,939,588,964/155,514
  6. Step 6: Final answer
    x = 661,931.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.