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Finding the Third Proportional to 170,094 and 372,507

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Solution

The third proportional to 170,094 and 372,507 is: 815,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,094 : 372,507 = 372,507 : x
  2. Step 2: Convert to fraction form
    170,094/372,507 = 372,507/x
  3. Step 3: Cross multiply
    170,094x = 372,507 × 372,507
  4. Step 4: Simplify right side
    170,094x = 138,761,465,049
  5. Step 5: Solve for x
    x = 138,761,465,049/170,094
  6. Step 6: Final answer
    x = 815,792.83

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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.