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Finding the Third Proportional to 187,176 and 242,848

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Solution

The third proportional to 187,176 and 242,848 is: 315,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,176 : 242,848 = 242,848 : x
  2. Step 2: Convert to fraction form
    187,176/242,848 = 242,848/x
  3. Step 3: Cross multiply
    187,176x = 242,848 × 242,848
  4. Step 4: Simplify right side
    187,176x = 58,975,151,104
  5. Step 5: Solve for x
    x = 58,975,151,104/187,176
  6. Step 6: Final answer
    x = 315,078.60

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.