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Finding the Third Proportional to 164,466 and 355,160

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Solution

The third proportional to 164,466 and 355,160 is: 766,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,466 : 355,160 = 355,160 : x
  2. Step 2: Convert to fraction form
    164,466/355,160 = 355,160/x
  3. Step 3: Cross multiply
    164,466x = 355,160 × 355,160
  4. Step 4: Simplify right side
    164,466x = 126,138,625,600
  5. Step 5: Solve for x
    x = 126,138,625,600/164,466
  6. Step 6: Final answer
    x = 766,958.68

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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.