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Finding the Third Proportional to 152,019 and 351,887

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Solution

The third proportional to 152,019 and 351,887 is: 814,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,019 : 351,887 = 351,887 : x
  2. Step 2: Convert to fraction form
    152,019/351,887 = 351,887/x
  3. Step 3: Cross multiply
    152,019x = 351,887 × 351,887
  4. Step 4: Simplify right side
    152,019x = 123,824,460,769
  5. Step 5: Solve for x
    x = 123,824,460,769/152,019
  6. Step 6: Final answer
    x = 814,532.79

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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.