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Finding the Third Proportional to 171,630 and 265,748

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Solution

The third proportional to 171,630 and 265,748 is: 411,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,630 : 265,748 = 265,748 : x
  2. Step 2: Convert to fraction form
    171,630/265,748 = 265,748/x
  3. Step 3: Cross multiply
    171,630x = 265,748 × 265,748
  4. Step 4: Simplify right side
    171,630x = 70,621,999,504
  5. Step 5: Solve for x
    x = 70,621,999,504/171,630
  6. Step 6: Final answer
    x = 411,478.18

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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.