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Finding the Third Proportional to 238,206 and 510,960

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Solution

The third proportional to 238,206 and 510,960 is: 1,096,026.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,206 : 510,960 = 510,960 : x
  2. Step 2: Convert to fraction form
    238,206/510,960 = 510,960/x
  3. Step 3: Cross multiply
    238,206x = 510,960 × 510,960
  4. Step 4: Simplify right side
    238,206x = 261,080,121,600
  5. Step 5: Solve for x
    x = 261,080,121,600/238,206
  6. Step 6: Final answer
    x = 1,096,026.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.