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Finding the Third Proportional to 172,106 and 370,579

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Solution

The third proportional to 172,106 and 370,579 is: 797,931.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,106 : 370,579 = 370,579 : x
  2. Step 2: Convert to fraction form
    172,106/370,579 = 370,579/x
  3. Step 3: Cross multiply
    172,106x = 370,579 × 370,579
  4. Step 4: Simplify right side
    172,106x = 137,328,795,241
  5. Step 5: Solve for x
    x = 137,328,795,241/172,106
  6. Step 6: Final answer
    x = 797,931.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.