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Finding the Third Proportional to 110,848 and 242,432

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Solution

The third proportional to 110,848 and 242,432 is: 530,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,848 : 242,432 = 242,432 : x
  2. Step 2: Convert to fraction form
    110,848/242,432 = 242,432/x
  3. Step 3: Cross multiply
    110,848x = 242,432 × 242,432
  4. Step 4: Simplify right side
    110,848x = 58,773,274,624
  5. Step 5: Solve for x
    x = 58,773,274,624/110,848
  6. Step 6: Final answer
    x = 530,215.02

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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.