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Finding the Third Proportional to 160,580 and 333,904

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Solution

The third proportional to 160,580 and 333,904 is: 694,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,580 : 333,904 = 333,904 : x
  2. Step 2: Convert to fraction form
    160,580/333,904 = 333,904/x
  3. Step 3: Cross multiply
    160,580x = 333,904 × 333,904
  4. Step 4: Simplify right side
    160,580x = 111,491,881,216
  5. Step 5: Solve for x
    x = 111,491,881,216/160,580
  6. Step 6: Final answer
    x = 694,307.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.