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Finding the Third Proportional to 164,246 and 354,748

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Solution

The third proportional to 164,246 and 354,748 is: 766,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,246 : 354,748 = 354,748 : x
  2. Step 2: Convert to fraction form
    164,246/354,748 = 354,748/x
  3. Step 3: Cross multiply
    164,246x = 354,748 × 354,748
  4. Step 4: Simplify right side
    164,246x = 125,846,143,504
  5. Step 5: Solve for x
    x = 125,846,143,504/164,246
  6. Step 6: Final answer
    x = 766,205.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.