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Finding the Third Proportional to 154,827.07 and 226,266.22

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Solution

The third proportional to 154,827.07 and 226,266.22 is: 330,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,827.07 : 226,266.22 = 226,266.22 : x
  2. Step 2: Convert to fraction form
    154,827.07/226,266.22 = 226,266.22/x
  3. Step 3: Cross multiply
    154,827.07x = 226,266.22 × 226,266.22
  4. Step 4: Simplify right side
    154,827.07x = 51,196,403,515.13
  5. Step 5: Solve for x
    x = 51,196,403,515.13/154,827.07
  6. Step 6: Final answer
    x = 330,668.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.