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Finding the Third Proportional to 160,284 and 342,016

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Solution

The third proportional to 160,284 and 342,016 is: 729,798.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,284 : 342,016 = 342,016 : x
  2. Step 2: Convert to fraction form
    160,284/342,016 = 342,016/x
  3. Step 3: Cross multiply
    160,284x = 342,016 × 342,016
  4. Step 4: Simplify right side
    160,284x = 116,974,944,256
  5. Step 5: Solve for x
    x = 116,974,944,256/160,284
  6. Step 6: Final answer
    x = 729,798.01

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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.