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Finding the Third Proportional to 169,525 and 256,007

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Solution

The third proportional to 169,525 and 256,007 is: 386,607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,525 : 256,007 = 256,007 : x
  2. Step 2: Convert to fraction form
    169,525/256,007 = 256,007/x
  3. Step 3: Cross multiply
    169,525x = 256,007 × 256,007
  4. Step 4: Simplify right side
    169,525x = 65,539,584,049
  5. Step 5: Solve for x
    x = 65,539,584,049/169,525
  6. Step 6: Final answer
    x = 386,607.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.