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Finding the Third Proportional to 164,511 and 341,940

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Solution

The third proportional to 164,511 and 341,940 is: 710,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,511 : 341,940 = 341,940 : x
  2. Step 2: Convert to fraction form
    164,511/341,940 = 341,940/x
  3. Step 3: Cross multiply
    164,511x = 341,940 × 341,940
  4. Step 4: Simplify right side
    164,511x = 116,922,963,600
  5. Step 5: Solve for x
    x = 116,922,963,600/164,511
  6. Step 6: Final answer
    x = 710,730.37

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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.