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Finding the Third Proportional to 117,958 and 256,652

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Solution

The third proportional to 117,958 and 256,652 is: 558,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,958 : 256,652 = 256,652 : x
  2. Step 2: Convert to fraction form
    117,958/256,652 = 256,652/x
  3. Step 3: Cross multiply
    117,958x = 256,652 × 256,652
  4. Step 4: Simplify right side
    117,958x = 65,870,249,104
  5. Step 5: Solve for x
    x = 65,870,249,104/117,958
  6. Step 6: Final answer
    x = 558,421.21

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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.