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Finding the Third Proportional to 114,188 and 240,686

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Solution

The third proportional to 114,188 and 240,686 is: 507,319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,188 : 240,686 = 240,686 : x
  2. Step 2: Convert to fraction form
    114,188/240,686 = 240,686/x
  3. Step 3: Cross multiply
    114,188x = 240,686 × 240,686
  4. Step 4: Simplify right side
    114,188x = 57,929,750,596
  5. Step 5: Solve for x
    x = 57,929,750,596/114,188
  6. Step 6: Final answer
    x = 507,319.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.