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Finding the Third Proportional to 158,042 and 373,073

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Solution

The third proportional to 158,042 and 373,073 is: 880,673.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,042 : 373,073 = 373,073 : x
  2. Step 2: Convert to fraction form
    158,042/373,073 = 373,073/x
  3. Step 3: Cross multiply
    158,042x = 373,073 × 373,073
  4. Step 4: Simplify right side
    158,042x = 139,183,463,329
  5. Step 5: Solve for x
    x = 139,183,463,329/158,042
  6. Step 6: Final answer
    x = 880,673.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.