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Finding the Third Proportional to 117,184 and 256,576

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Solution

The third proportional to 117,184 and 256,576 is: 561,776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,184 : 256,576 = 256,576 : x
  2. Step 2: Convert to fraction form
    117,184/256,576 = 256,576/x
  3. Step 3: Cross multiply
    117,184x = 256,576 × 256,576
  4. Step 4: Simplify right side
    117,184x = 65,831,243,776
  5. Step 5: Solve for x
    x = 65,831,243,776/117,184
  6. Step 6: Final answer
    x = 561,776.73

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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.