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Finding the Third Proportional to 117,666 and 255,730.50

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Solution

The third proportional to 117,666 and 255,730.50 is: 555,794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,666 : 255,730.50 = 255,730.50 : x
  2. Step 2: Convert to fraction form
    117,666/255,730.50 = 255,730.50/x
  3. Step 3: Cross multiply
    117,666x = 255,730.50 × 255,730.50
  4. Step 4: Simplify right side
    117,666x = 65,398,088,630.25
  5. Step 5: Solve for x
    x = 65,398,088,630.25/117,666
  6. Step 6: Final answer
    x = 555,794.27

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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.