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Finding the Third Proportional to 106,076 and 233,480

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Solution

The third proportional to 106,076 and 233,480 is: 513,904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,076 : 233,480 = 233,480 : x
  2. Step 2: Convert to fraction form
    106,076/233,480 = 233,480/x
  3. Step 3: Cross multiply
    106,076x = 233,480 × 233,480
  4. Step 4: Simplify right side
    106,076x = 54,512,910,400
  5. Step 5: Solve for x
    x = 54,512,910,400/106,076
  6. Step 6: Final answer
    x = 513,904.28

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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.