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Finding the Third Proportional to 106,078 and 233,484

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Solution

The third proportional to 106,078 and 233,484 is: 513,912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,078 : 233,484 = 233,484 : x
  2. Step 2: Convert to fraction form
    106,078/233,484 = 233,484/x
  3. Step 3: Cross multiply
    106,078x = 233,484 × 233,484
  4. Step 4: Simplify right side
    106,078x = 54,514,778,256
  5. Step 5: Solve for x
    x = 54,514,778,256/106,078
  6. Step 6: Final answer
    x = 513,912.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.