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Finding the Third Proportional to 150,172 and 323,528

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Solution

The third proportional to 150,172 and 323,528 is: 697,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,172 : 323,528 = 323,528 : x
  2. Step 2: Convert to fraction form
    150,172/323,528 = 323,528/x
  3. Step 3: Cross multiply
    150,172x = 323,528 × 323,528
  4. Step 4: Simplify right side
    150,172x = 104,670,366,784
  5. Step 5: Solve for x
    x = 104,670,366,784/150,172
  6. Step 6: Final answer
    x = 697,003.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.