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Finding the Third Proportional to 160,044 and 266,754

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Solution

The third proportional to 160,044 and 266,754 is: 444,613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,044 : 266,754 = 266,754 : x
  2. Step 2: Convert to fraction form
    160,044/266,754 = 266,754/x
  3. Step 3: Cross multiply
    160,044x = 266,754 × 266,754
  4. Step 4: Simplify right side
    160,044x = 71,157,696,516
  5. Step 5: Solve for x
    x = 71,157,696,516/160,044
  6. Step 6: Final answer
    x = 444,613.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.