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Finding the Third Proportional to 151,206 and 321,528

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Solution

The third proportional to 151,206 and 321,528 is: 683,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,206 : 321,528 = 321,528 : x
  2. Step 2: Convert to fraction form
    151,206/321,528 = 321,528/x
  3. Step 3: Cross multiply
    151,206x = 321,528 × 321,528
  4. Step 4: Simplify right side
    151,206x = 103,380,254,784
  5. Step 5: Solve for x
    x = 103,380,254,784/151,206
  6. Step 6: Final answer
    x = 683,704.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.