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Finding the Third Proportional to 160,464 and 342,400

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Solution

The third proportional to 160,464 and 342,400 is: 730,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,464 : 342,400 = 342,400 : x
  2. Step 2: Convert to fraction form
    160,464/342,400 = 342,400/x
  3. Step 3: Cross multiply
    160,464x = 342,400 × 342,400
  4. Step 4: Simplify right side
    160,464x = 117,237,760,000
  5. Step 5: Solve for x
    x = 117,237,760,000/160,464
  6. Step 6: Final answer
    x = 730,617.21

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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.