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Finding the Third Proportional to 171,970 and 265,732

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Solution

The third proportional to 171,970 and 265,732 is: 410,615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,970 : 265,732 = 265,732 : x
  2. Step 2: Convert to fraction form
    171,970/265,732 = 265,732/x
  3. Step 3: Cross multiply
    171,970x = 265,732 × 265,732
  4. Step 4: Simplify right side
    171,970x = 70,613,495,824
  5. Step 5: Solve for x
    x = 70,613,495,824/171,970
  6. Step 6: Final answer
    x = 410,615.20

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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.