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Finding the Third Proportional to 163,432 and 341,836

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Solution

The third proportional to 163,432 and 341,836 is: 714,987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,432 : 341,836 = 341,836 : x
  2. Step 2: Convert to fraction form
    163,432/341,836 = 341,836/x
  3. Step 3: Cross multiply
    163,432x = 341,836 × 341,836
  4. Step 4: Simplify right side
    163,432x = 116,851,850,896
  5. Step 5: Solve for x
    x = 116,851,850,896/163,432
  6. Step 6: Final answer
    x = 714,987.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.