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Finding the Third Proportional to 160,292 and 342,032

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Solution

The third proportional to 160,292 and 342,032 is: 729,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,292 : 342,032 = 342,032 : x
  2. Step 2: Convert to fraction form
    160,292/342,032 = 342,032/x
  3. Step 3: Cross multiply
    160,292x = 342,032 × 342,032
  4. Step 4: Simplify right side
    160,292x = 116,985,889,024
  5. Step 5: Solve for x
    x = 116,985,889,024/160,292
  6. Step 6: Final answer
    x = 729,829.87

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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.