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Finding the Third Proportional to 64,350 and 150,354

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Solution

The third proportional to 64,350 and 150,354 is: 351,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,350 : 150,354 = 150,354 : x
  2. Step 2: Convert to fraction form
    64,350/150,354 = 150,354/x
  3. Step 3: Cross multiply
    64,350x = 150,354 × 150,354
  4. Step 4: Simplify right side
    64,350x = 22,606,325,316
  5. Step 5: Solve for x
    x = 22,606,325,316/64,350
  6. Step 6: Final answer
    x = 351,302.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.