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Finding the Third Proportional to 117,281 and 256,774

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Solution

The third proportional to 117,281 and 256,774 is: 562,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,281 : 256,774 = 256,774 : x
  2. Step 2: Convert to fraction form
    117,281/256,774 = 256,774/x
  3. Step 3: Cross multiply
    117,281x = 256,774 × 256,774
  4. Step 4: Simplify right side
    117,281x = 65,932,887,076
  5. Step 5: Solve for x
    x = 65,932,887,076/117,281
  6. Step 6: Final answer
    x = 562,178.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.