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Finding the Third Proportional to 117,684 and 255,024

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Solution

The third proportional to 117,684 and 255,024 is: 552,643.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,684 : 255,024 = 255,024 : x
  2. Step 2: Convert to fraction form
    117,684/255,024 = 255,024/x
  3. Step 3: Cross multiply
    117,684x = 255,024 × 255,024
  4. Step 4: Simplify right side
    117,684x = 65,037,240,576
  5. Step 5: Solve for x
    x = 65,037,240,576/117,684
  6. Step 6: Final answer
    x = 552,643.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.