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Finding the Third Proportional to 186,988.50 and 255,468.94

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Solution

The third proportional to 186,988.50 and 255,468.94 is: 349,028.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,988.50 : 255,468.94 = 255,468.94 : x
  2. Step 2: Convert to fraction form
    186,988.50/255,468.94 = 255,468.94/x
  3. Step 3: Cross multiply
    186,988.50x = 255,468.94 × 255,468.94
  4. Step 4: Simplify right side
    186,988.50x = 65,264,378,027.38
  5. Step 5: Solve for x
    x = 65,264,378,027.38/186,988.50
  6. Step 6: Final answer
    x = 349,028.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.