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Finding the Third Proportional to 160,947 and 353,414

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Solution

The third proportional to 160,947 and 353,414 is: 776,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,947 : 353,414 = 353,414 : x
  2. Step 2: Convert to fraction form
    160,947/353,414 = 353,414/x
  3. Step 3: Cross multiply
    160,947x = 353,414 × 353,414
  4. Step 4: Simplify right side
    160,947x = 124,901,455,396
  5. Step 5: Solve for x
    x = 124,901,455,396/160,947
  6. Step 6: Final answer
    x = 776,040.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.