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Finding the Third Proportional to 160,559 and 352,900

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Solution

The third proportional to 160,559 and 352,900 is: 775,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,559 : 352,900 = 352,900 : x
  2. Step 2: Convert to fraction form
    160,559/352,900 = 352,900/x
  3. Step 3: Cross multiply
    160,559x = 352,900 × 352,900
  4. Step 4: Simplify right side
    160,559x = 124,538,410,000
  5. Step 5: Solve for x
    x = 124,538,410,000/160,559
  6. Step 6: Final answer
    x = 775,655.12

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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.