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Finding the Third Proportional to 180,266 and 417,305

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Solution

The third proportional to 180,266 and 417,305 is: 966,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,266 : 417,305 = 417,305 : x
  2. Step 2: Convert to fraction form
    180,266/417,305 = 417,305/x
  3. Step 3: Cross multiply
    180,266x = 417,305 × 417,305
  4. Step 4: Simplify right side
    180,266x = 174,143,463,025
  5. Step 5: Solve for x
    x = 174,143,463,025/180,266
  6. Step 6: Final answer
    x = 966,036.10

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.