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Finding the Third Proportional to 158,873 and 232,963

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Solution

The third proportional to 158,873 and 232,963 is: 341,604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,873 : 232,963 = 232,963 : x
  2. Step 2: Convert to fraction form
    158,873/232,963 = 232,963/x
  3. Step 3: Cross multiply
    158,873x = 232,963 × 232,963
  4. Step 4: Simplify right side
    158,873x = 54,271,759,369
  5. Step 5: Solve for x
    x = 54,271,759,369/158,873
  6. Step 6: Final answer
    x = 341,604.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.