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Finding the Third Proportional to 117,007 and 256,612

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Solution

The third proportional to 117,007 and 256,612 is: 562,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,007 : 256,612 = 256,612 : x
  2. Step 2: Convert to fraction form
    117,007/256,612 = 256,612/x
  3. Step 3: Cross multiply
    117,007x = 256,612 × 256,612
  4. Step 4: Simplify right side
    117,007x = 65,849,718,544
  5. Step 5: Solve for x
    x = 65,849,718,544/117,007
  6. Step 6: Final answer
    x = 562,784.44

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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.