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Finding the Third Proportional to 118,562 and 256,807

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Solution

The third proportional to 118,562 and 256,807 is: 556,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,562 : 256,807 = 256,807 : x
  2. Step 2: Convert to fraction form
    118,562/256,807 = 256,807/x
  3. Step 3: Cross multiply
    118,562x = 256,807 × 256,807
  4. Step 4: Simplify right side
    118,562x = 65,949,835,249
  5. Step 5: Solve for x
    x = 65,949,835,249/118,562
  6. Step 6: Final answer
    x = 556,247.66

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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.