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Finding the Third Proportional to 152,298 and 351,009

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Solution

The third proportional to 152,298 and 351,009 is: 808,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,298 : 351,009 = 351,009 : x
  2. Step 2: Convert to fraction form
    152,298/351,009 = 351,009/x
  3. Step 3: Cross multiply
    152,298x = 351,009 × 351,009
  4. Step 4: Simplify right side
    152,298x = 123,207,318,081
  5. Step 5: Solve for x
    x = 123,207,318,081/152,298
  6. Step 6: Final answer
    x = 808,988.42

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.