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Finding the Third Proportional to 152,001 and 233,306

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Solution

The third proportional to 152,001 and 233,306 is: 358,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,001 : 233,306 = 233,306 : x
  2. Step 2: Convert to fraction form
    152,001/233,306 = 233,306/x
  3. Step 3: Cross multiply
    152,001x = 233,306 × 233,306
  4. Step 4: Simplify right side
    152,001x = 54,431,689,636
  5. Step 5: Solve for x
    x = 54,431,689,636/152,001
  6. Step 6: Final answer
    x = 358,100.87

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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.