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Finding the Third Proportional to 163,670 and 353,164

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Solution

The third proportional to 163,670 and 353,164 is: 762,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,670 : 353,164 = 353,164 : x
  2. Step 2: Convert to fraction form
    163,670/353,164 = 353,164/x
  3. Step 3: Cross multiply
    163,670x = 353,164 × 353,164
  4. Step 4: Simplify right side
    163,670x = 124,724,810,896
  5. Step 5: Solve for x
    x = 124,724,810,896/163,670
  6. Step 6: Final answer
    x = 762,050.53

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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.