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Finding the Third Proportional to 159,306 and 230,283

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Solution

The third proportional to 159,306 and 230,283 is: 332,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,306 : 230,283 = 230,283 : x
  2. Step 2: Convert to fraction form
    159,306/230,283 = 230,283/x
  3. Step 3: Cross multiply
    159,306x = 230,283 × 230,283
  4. Step 4: Simplify right side
    159,306x = 53,030,260,089
  5. Step 5: Solve for x
    x = 53,030,260,089/159,306
  6. Step 6: Final answer
    x = 332,883.01

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.