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Finding the Third Proportional to 226,605.09 and 306,669.80

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Solution

The third proportional to 226,605.09 and 306,669.80 is: 415,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,605.09 : 306,669.80 = 306,669.80 : x
  2. Step 2: Convert to fraction form
    226,605.09/306,669.80 = 306,669.80/x
  3. Step 3: Cross multiply
    226,605.09x = 306,669.80 × 306,669.80
  4. Step 4: Simplify right side
    226,605.09x = 94,046,364,315.35
  5. Step 5: Solve for x
    x = 94,046,364,315.35/226,605.09
  6. Step 6: Final answer
    x = 415,023.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.