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Finding the Third Proportional to 156,135.50 and 335,952

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Solution

The third proportional to 156,135.50 and 335,952 is: 722,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,135.50 : 335,952 = 335,952 : x
  2. Step 2: Convert to fraction form
    156,135.50/335,952 = 335,952/x
  3. Step 3: Cross multiply
    156,135.50x = 335,952 × 335,952
  4. Step 4: Simplify right side
    156,135.50x = 112,863,746,304
  5. Step 5: Solve for x
    x = 112,863,746,304/156,135.50
  6. Step 6: Final answer
    x = 722,857.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.