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Finding the Third Proportional to 233,848 and 364,460

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Solution

The third proportional to 233,848 and 364,460 is: 568,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,848 : 364,460 = 364,460 : x
  2. Step 2: Convert to fraction form
    233,848/364,460 = 364,460/x
  3. Step 3: Cross multiply
    233,848x = 364,460 × 364,460
  4. Step 4: Simplify right side
    233,848x = 132,831,091,600
  5. Step 5: Solve for x
    x = 132,831,091,600/233,848
  6. Step 6: Final answer
    x = 568,023.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.