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Finding the Third Proportional to 117,536 and 255,808

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Solution

The third proportional to 117,536 and 255,808 is: 556,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,536 : 255,808 = 255,808 : x
  2. Step 2: Convert to fraction form
    117,536/255,808 = 255,808/x
  3. Step 3: Cross multiply
    117,536x = 255,808 × 255,808
  4. Step 4: Simplify right side
    117,536x = 65,437,732,864
  5. Step 5: Solve for x
    x = 65,437,732,864/117,536
  6. Step 6: Final answer
    x = 556,746.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.