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Finding the Third Proportional to 236,761 and 520,178

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Solution

The third proportional to 236,761 and 520,178 is: 1,142,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,761 : 520,178 = 520,178 : x
  2. Step 2: Convert to fraction form
    236,761/520,178 = 520,178/x
  3. Step 3: Cross multiply
    236,761x = 520,178 × 520,178
  4. Step 4: Simplify right side
    236,761x = 270,585,151,684
  5. Step 5: Solve for x
    x = 270,585,151,684/236,761
  6. Step 6: Final answer
    x = 1,142,862.01

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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.