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Finding the Third Proportional to 97,354 and 150,330

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Solution

The third proportional to 97,354 and 150,330 is: 232,133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,354 : 150,330 = 150,330 : x
  2. Step 2: Convert to fraction form
    97,354/150,330 = 150,330/x
  3. Step 3: Cross multiply
    97,354x = 150,330 × 150,330
  4. Step 4: Simplify right side
    97,354x = 22,599,108,900
  5. Step 5: Solve for x
    x = 22,599,108,900/97,354
  6. Step 6: Final answer
    x = 232,133.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.