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Finding the Third Proportional to 164,187 and 354,570

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Solution

The third proportional to 164,187 and 354,570 is: 765,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,187 : 354,570 = 354,570 : x
  2. Step 2: Convert to fraction form
    164,187/354,570 = 354,570/x
  3. Step 3: Cross multiply
    164,187x = 354,570 × 354,570
  4. Step 4: Simplify right side
    164,187x = 125,719,884,900
  5. Step 5: Solve for x
    x = 125,719,884,900/164,187
  6. Step 6: Final answer
    x = 765,711.57

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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.