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Finding the Third Proportional to 76,488 and 167,749.50

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Solution

The third proportional to 76,488 and 167,749.50 is: 367,899.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,488 : 167,749.50 = 167,749.50 : x
  2. Step 2: Convert to fraction form
    76,488/167,749.50 = 167,749.50/x
  3. Step 3: Cross multiply
    76,488x = 167,749.50 × 167,749.50
  4. Step 4: Simplify right side
    76,488x = 28,139,894,750.25
  5. Step 5: Solve for x
    x = 28,139,894,750.25/76,488
  6. Step 6: Final answer
    x = 367,899.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.