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Finding the Third Proportional to 152,028 and 351,906

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Solution

The third proportional to 152,028 and 351,906 is: 814,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,028 : 351,906 = 351,906 : x
  2. Step 2: Convert to fraction form
    152,028/351,906 = 351,906/x
  3. Step 3: Cross multiply
    152,028x = 351,906 × 351,906
  4. Step 4: Simplify right side
    152,028x = 123,837,832,836
  5. Step 5: Solve for x
    x = 123,837,832,836/152,028
  6. Step 6: Final answer
    x = 814,572.53

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.