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Finding the Third Proportional to 163,434 and 386,418

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Solution

The third proportional to 163,434 and 386,418 is: 913,634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,434 : 386,418 = 386,418 : x
  2. Step 2: Convert to fraction form
    163,434/386,418 = 386,418/x
  3. Step 3: Cross multiply
    163,434x = 386,418 × 386,418
  4. Step 4: Simplify right side
    163,434x = 149,318,870,724
  5. Step 5: Solve for x
    x = 149,318,870,724/163,434
  6. Step 6: Final answer
    x = 913,634.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.