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Finding the Third Proportional to 170,932 and 265,359

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Solution

The third proportional to 170,932 and 265,359 is: 411,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,932 : 265,359 = 265,359 : x
  2. Step 2: Convert to fraction form
    170,932/265,359 = 265,359/x
  3. Step 3: Cross multiply
    170,932x = 265,359 × 265,359
  4. Step 4: Simplify right side
    170,932x = 70,415,398,881
  5. Step 5: Solve for x
    x = 70,415,398,881/170,932
  6. Step 6: Final answer
    x = 411,949.77

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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.