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Finding the Third Proportional to 236,464 and 325,164

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Solution

The third proportional to 236,464 and 325,164 is: 447,136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,464 : 325,164 = 325,164 : x
  2. Step 2: Convert to fraction form
    236,464/325,164 = 325,164/x
  3. Step 3: Cross multiply
    236,464x = 325,164 × 325,164
  4. Step 4: Simplify right side
    236,464x = 105,731,626,896
  5. Step 5: Solve for x
    x = 105,731,626,896/236,464
  6. Step 6: Final answer
    x = 447,136.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.