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Finding the Third Proportional to 117,130 and 256,831

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Solution

The third proportional to 117,130 and 256,831 is: 563,153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,130 : 256,831 = 256,831 : x
  2. Step 2: Convert to fraction form
    117,130/256,831 = 256,831/x
  3. Step 3: Cross multiply
    117,130x = 256,831 × 256,831
  4. Step 4: Simplify right side
    117,130x = 65,962,162,561
  5. Step 5: Solve for x
    x = 65,962,162,561/117,130
  6. Step 6: Final answer
    x = 563,153.44

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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.