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Finding the Third Proportional to 180,927 and 266,127.75

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Solution

The third proportional to 180,927 and 266,127.75 is: 391,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,927 : 266,127.75 = 266,127.75 : x
  2. Step 2: Convert to fraction form
    180,927/266,127.75 = 266,127.75/x
  3. Step 3: Cross multiply
    180,927x = 266,127.75 × 266,127.75
  4. Step 4: Simplify right side
    180,927x = 70,823,979,320.06
  5. Step 5: Solve for x
    x = 70,823,979,320.06/180,927
  6. Step 6: Final answer
    x = 391,450.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.