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Finding the Third Proportional to 170,598 and 372,252

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Solution

The third proportional to 170,598 and 372,252 is: 812,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,598 : 372,252 = 372,252 : x
  2. Step 2: Convert to fraction form
    170,598/372,252 = 372,252/x
  3. Step 3: Cross multiply
    170,598x = 372,252 × 372,252
  4. Step 4: Simplify right side
    170,598x = 138,571,551,504
  5. Step 5: Solve for x
    x = 138,571,551,504/170,598
  6. Step 6: Final answer
    x = 812,269.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.