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Finding the Third Proportional to 76,520.63 and 162,304.50

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Solution

The third proportional to 76,520.63 and 162,304.50 is: 344,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,520.63 : 162,304.50 = 162,304.50 : x
  2. Step 2: Convert to fraction form
    76,520.63/162,304.50 = 162,304.50/x
  3. Step 3: Cross multiply
    76,520.63x = 162,304.50 × 162,304.50
  4. Step 4: Simplify right side
    76,520.63x = 26,342,750,720.25
  5. Step 5: Solve for x
    x = 26,342,750,720.25/76,520.63
  6. Step 6: Final answer
    x = 344,256.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.