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Finding the Third Proportional to 171,613 and 265,724

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Solution

The third proportional to 171,613 and 265,724 is: 411,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,613 : 265,724 = 265,724 : x
  2. Step 2: Convert to fraction form
    171,613/265,724 = 265,724/x
  3. Step 3: Cross multiply
    171,613x = 265,724 × 265,724
  4. Step 4: Simplify right side
    171,613x = 70,609,244,176
  5. Step 5: Solve for x
    x = 70,609,244,176/171,613
  6. Step 6: Final answer
    x = 411,444.61

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Why These Related Problems?

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