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Finding the Third Proportional to 159,487 and 256,969

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Solution

The third proportional to 159,487 and 256,969 is: 414,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,487 : 256,969 = 256,969 : x
  2. Step 2: Convert to fraction form
    159,487/256,969 = 256,969/x
  3. Step 3: Cross multiply
    159,487x = 256,969 × 256,969
  4. Step 4: Simplify right side
    159,487x = 66,033,066,961
  5. Step 5: Solve for x
    x = 66,033,066,961/159,487
  6. Step 6: Final answer
    x = 414,034.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.