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Finding the Third Proportional to 114,291 and 178,717.50

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Solution

The third proportional to 114,291 and 178,717.50 is: 279,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,291 : 178,717.50 = 178,717.50 : x
  2. Step 2: Convert to fraction form
    114,291/178,717.50 = 178,717.50/x
  3. Step 3: Cross multiply
    114,291x = 178,717.50 × 178,717.50
  4. Step 4: Simplify right side
    114,291x = 31,939,944,806.25
  5. Step 5: Solve for x
    x = 31,939,944,806.25/114,291
  6. Step 6: Final answer
    x = 279,461.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.