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Finding the Third Proportional to 72,341.44 and 156,756.94

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Solution

The third proportional to 72,341.44 and 156,756.94 is: 339,677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,341.44 : 156,756.94 = 156,756.94 : x
  2. Step 2: Convert to fraction form
    72,341.44/156,756.94 = 156,756.94/x
  3. Step 3: Cross multiply
    72,341.44x = 156,756.94 × 156,756.94
  4. Step 4: Simplify right side
    72,341.44x = 24,572,737,454.38
  5. Step 5: Solve for x
    x = 24,572,737,454.38/72,341.44
  6. Step 6: Final answer
    x = 339,677.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.