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Finding the Third Proportional to 238,023 and 515,226

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Solution

The third proportional to 238,023 and 515,226 is: 1,115,261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,023 : 515,226 = 515,226 : x
  2. Step 2: Convert to fraction form
    238,023/515,226 = 515,226/x
  3. Step 3: Cross multiply
    238,023x = 515,226 × 515,226
  4. Step 4: Simplify right side
    238,023x = 265,457,831,076
  5. Step 5: Solve for x
    x = 265,457,831,076/238,023
  6. Step 6: Final answer
    x = 1,115,261.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.