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Finding the Third Proportional to 170,095 and 372,510

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Solution

The third proportional to 170,095 and 372,510 is: 815,801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,095 : 372,510 = 372,510 : x
  2. Step 2: Convert to fraction form
    170,095/372,510 = 372,510/x
  3. Step 3: Cross multiply
    170,095x = 372,510 × 372,510
  4. Step 4: Simplify right side
    170,095x = 138,763,700,100
  5. Step 5: Solve for x
    x = 138,763,700,100/170,095
  6. Step 6: Final answer
    x = 815,801.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.