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Finding the Third Proportional to 164,358 and 354,684

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Solution

The third proportional to 164,358 and 354,684 is: 765,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,358 : 354,684 = 354,684 : x
  2. Step 2: Convert to fraction form
    164,358/354,684 = 354,684/x
  3. Step 3: Cross multiply
    164,358x = 354,684 × 354,684
  4. Step 4: Simplify right side
    164,358x = 125,800,739,856
  5. Step 5: Solve for x
    x = 125,800,739,856/164,358
  6. Step 6: Final answer
    x = 765,406.85

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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.