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Finding the Third Proportional to 164,558 and 358,850

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Solution

The third proportional to 164,558 and 358,850 is: 782,540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,558 : 358,850 = 358,850 : x
  2. Step 2: Convert to fraction form
    164,558/358,850 = 358,850/x
  3. Step 3: Cross multiply
    164,558x = 358,850 × 358,850
  4. Step 4: Simplify right side
    164,558x = 128,773,322,500
  5. Step 5: Solve for x
    x = 128,773,322,500/164,558
  6. Step 6: Final answer
    x = 782,540.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.