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Finding the Third Proportional to 163,816 and 350,402

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Solution

The third proportional to 163,816 and 350,402 is: 749,508.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,816 : 350,402 = 350,402 : x
  2. Step 2: Convert to fraction form
    163,816/350,402 = 350,402/x
  3. Step 3: Cross multiply
    163,816x = 350,402 × 350,402
  4. Step 4: Simplify right side
    163,816x = 122,781,561,604
  5. Step 5: Solve for x
    x = 122,781,561,604/163,816
  6. Step 6: Final answer
    x = 749,508.97

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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.