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Finding the Third Proportional to 151,220 and 353,210

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Solution

The third proportional to 151,220 and 353,210 is: 825,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,220 : 353,210 = 353,210 : x
  2. Step 2: Convert to fraction form
    151,220/353,210 = 353,210/x
  3. Step 3: Cross multiply
    151,220x = 353,210 × 353,210
  4. Step 4: Simplify right side
    151,220x = 124,757,304,100
  5. Step 5: Solve for x
    x = 124,757,304,100/151,220
  6. Step 6: Final answer
    x = 825,005.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.