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Finding the Third Proportional to 156,314.25 and 242,194.50

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Solution

The third proportional to 156,314.25 and 242,194.50 is: 375,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,314.25 : 242,194.50 = 242,194.50 : x
  2. Step 2: Convert to fraction form
    156,314.25/242,194.50 = 242,194.50/x
  3. Step 3: Cross multiply
    156,314.25x = 242,194.50 × 242,194.50
  4. Step 4: Simplify right side
    156,314.25x = 58,658,175,830.25
  5. Step 5: Solve for x
    x = 58,658,175,830.25/156,314.25
  6. Step 6: Final answer
    x = 375,258.02

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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.