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Finding the Third Proportional to 156,048.75 and 242,092.13

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Solution

The third proportional to 156,048.75 and 242,092.13 is: 375,578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,048.75 : 242,092.13 = 242,092.13 : x
  2. Step 2: Convert to fraction form
    156,048.75/242,092.13 = 242,092.13/x
  3. Step 3: Cross multiply
    156,048.75x = 242,092.13 × 242,092.13
  4. Step 4: Simplify right side
    156,048.75x = 58,608,596,987.02
  5. Step 5: Solve for x
    x = 58,608,596,987.02/156,048.75
  6. Step 6: Final answer
    x = 375,578.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.