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Finding the Third Proportional to 171,645 and 262,572

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Solution

The third proportional to 171,645 and 262,572 is: 401,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,645 : 262,572 = 262,572 : x
  2. Step 2: Convert to fraction form
    171,645/262,572 = 262,572/x
  3. Step 3: Cross multiply
    171,645x = 262,572 × 262,572
  4. Step 4: Simplify right side
    171,645x = 68,944,055,184
  5. Step 5: Solve for x
    x = 68,944,055,184/171,645
  6. Step 6: Final answer
    x = 401,666.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.