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Finding the Third Proportional to 158,564 and 242,869

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Solution

The third proportional to 158,564 and 242,869 is: 371,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,564 : 242,869 = 242,869 : x
  2. Step 2: Convert to fraction form
    158,564/242,869 = 242,869/x
  3. Step 3: Cross multiply
    158,564x = 242,869 × 242,869
  4. Step 4: Simplify right side
    158,564x = 58,985,351,161
  5. Step 5: Solve for x
    x = 58,985,351,161/158,564
  6. Step 6: Final answer
    x = 371,997.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.