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Finding the Third Proportional to 106,848 and 234,432

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Solution

The third proportional to 106,848 and 234,432 is: 514,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,848 : 234,432 = 234,432 : x
  2. Step 2: Convert to fraction form
    106,848/234,432 = 234,432/x
  3. Step 3: Cross multiply
    106,848x = 234,432 × 234,432
  4. Step 4: Simplify right side
    106,848x = 54,958,362,624
  5. Step 5: Solve for x
    x = 54,958,362,624/106,848
  6. Step 6: Final answer
    x = 514,360.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.