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Finding the Third Proportional to 163,414 and 350,156

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Solution

The third proportional to 163,414 and 350,156 is: 750,298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,414 : 350,156 = 350,156 : x
  2. Step 2: Convert to fraction form
    163,414/350,156 = 350,156/x
  3. Step 3: Cross multiply
    163,414x = 350,156 × 350,156
  4. Step 4: Simplify right side
    163,414x = 122,609,224,336
  5. Step 5: Solve for x
    x = 122,609,224,336/163,414
  6. Step 6: Final answer
    x = 750,298.17

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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.