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Finding the Third Proportional to 156,091.50 and 233,511

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Solution

The third proportional to 156,091.50 and 233,511 is: 349,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,091.50 : 233,511 = 233,511 : x
  2. Step 2: Convert to fraction form
    156,091.50/233,511 = 233,511/x
  3. Step 3: Cross multiply
    156,091.50x = 233,511 × 233,511
  4. Step 4: Simplify right side
    156,091.50x = 54,527,387,121
  5. Step 5: Solve for x
    x = 54,527,387,121/156,091.50
  6. Step 6: Final answer
    x = 349,329.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.