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Finding the Third Proportional to 163,574 and 350,794

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Solution

The third proportional to 163,574 and 350,794 is: 752,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,574 : 350,794 = 350,794 : x
  2. Step 2: Convert to fraction form
    163,574/350,794 = 350,794/x
  3. Step 3: Cross multiply
    163,574x = 350,794 × 350,794
  4. Step 4: Simplify right side
    163,574x = 123,056,430,436
  5. Step 5: Solve for x
    x = 123,056,430,436/163,574
  6. Step 6: Final answer
    x = 752,298.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.