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Finding the Third Proportional to 171,864 and 265,572

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Solution

The third proportional to 171,864 and 265,572 is: 410,373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,864 : 265,572 = 265,572 : x
  2. Step 2: Convert to fraction form
    171,864/265,572 = 265,572/x
  3. Step 3: Cross multiply
    171,864x = 265,572 × 265,572
  4. Step 4: Simplify right side
    171,864x = 70,528,487,184
  5. Step 5: Solve for x
    x = 70,528,487,184/171,864
  6. Step 6: Final answer
    x = 410,373.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.