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Finding the Third Proportional to 160,836 and 343,047

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Solution

The third proportional to 160,836 and 343,047 is: 731,684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,836 : 343,047 = 343,047 : x
  2. Step 2: Convert to fraction form
    160,836/343,047 = 343,047/x
  3. Step 3: Cross multiply
    160,836x = 343,047 × 343,047
  4. Step 4: Simplify right side
    160,836x = 117,681,244,209
  5. Step 5: Solve for x
    x = 117,681,244,209/160,836
  6. Step 6: Final answer
    x = 731,684.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.