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Finding the Third Proportional to 160,813 and 342,983

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Solution

The third proportional to 160,813 and 342,983 is: 731,516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,813 : 342,983 = 342,983 : x
  2. Step 2: Convert to fraction form
    160,813/342,983 = 342,983/x
  3. Step 3: Cross multiply
    160,813x = 342,983 × 342,983
  4. Step 4: Simplify right side
    160,813x = 117,637,338,289
  5. Step 5: Solve for x
    x = 117,637,338,289/160,813
  6. Step 6: Final answer
    x = 731,516.35

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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.