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Finding the Third Proportional to 171,704 and 265,640

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Solution

The third proportional to 171,704 and 265,640 is: 410,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,704 : 265,640 = 265,640 : x
  2. Step 2: Convert to fraction form
    171,704/265,640 = 265,640/x
  3. Step 3: Cross multiply
    171,704x = 265,640 × 265,640
  4. Step 4: Simplify right side
    171,704x = 70,564,609,600
  5. Step 5: Solve for x
    x = 70,564,609,600/171,704
  6. Step 6: Final answer
    x = 410,966.60

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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.