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Finding the Third Proportional to 164,959 and 353,246

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Solution

The third proportional to 164,959 and 353,246 is: 756,446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,959 : 353,246 = 353,246 : x
  2. Step 2: Convert to fraction form
    164,959/353,246 = 353,246/x
  3. Step 3: Cross multiply
    164,959x = 353,246 × 353,246
  4. Step 4: Simplify right side
    164,959x = 124,782,736,516
  5. Step 5: Solve for x
    x = 124,782,736,516/164,959
  6. Step 6: Final answer
    x = 756,446.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.