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Finding the Third Proportional to 151,194 and 328,148

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Solution

The third proportional to 151,194 and 328,148 is: 712,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,194 : 328,148 = 328,148 : x
  2. Step 2: Convert to fraction form
    151,194/328,148 = 328,148/x
  3. Step 3: Cross multiply
    151,194x = 328,148 × 328,148
  4. Step 4: Simplify right side
    151,194x = 107,681,109,904
  5. Step 5: Solve for x
    x = 107,681,109,904/151,194
  6. Step 6: Final answer
    x = 712,204.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.