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Finding the Third Proportional to 152,356 and 330,134

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Solution

The third proportional to 152,356 and 330,134 is: 715,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,356 : 330,134 = 330,134 : x
  2. Step 2: Convert to fraction form
    152,356/330,134 = 330,134/x
  3. Step 3: Cross multiply
    152,356x = 330,134 × 330,134
  4. Step 4: Simplify right side
    152,356x = 108,988,457,956
  5. Step 5: Solve for x
    x = 108,988,457,956/152,356
  6. Step 6: Final answer
    x = 715,353.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.