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Finding the Third Proportional to 160,634 and 357,172

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Solution

The third proportional to 160,634 and 357,172 is: 794,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,634 : 357,172 = 357,172 : x
  2. Step 2: Convert to fraction form
    160,634/357,172 = 357,172/x
  3. Step 3: Cross multiply
    160,634x = 357,172 × 357,172
  4. Step 4: Simplify right side
    160,634x = 127,571,837,584
  5. Step 5: Solve for x
    x = 127,571,837,584/160,634
  6. Step 6: Final answer
    x = 794,177.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.