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Finding the Third Proportional to 158,246 and 242,073

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Solution

The third proportional to 158,246 and 242,073 is: 370,305.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,246 : 242,073 = 242,073 : x
  2. Step 2: Convert to fraction form
    158,246/242,073 = 242,073/x
  3. Step 3: Cross multiply
    158,246x = 242,073 × 242,073
  4. Step 4: Simplify right side
    158,246x = 58,599,337,329
  5. Step 5: Solve for x
    x = 58,599,337,329/158,246
  6. Step 6: Final answer
    x = 370,305.33

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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.