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Finding the Third Proportional to 157,532.34 and 242,138.11

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Solution

The third proportional to 157,532.34 and 242,138.11 is: 372,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,532.34 : 242,138.11 = 242,138.11 : x
  2. Step 2: Convert to fraction form
    157,532.34/242,138.11 = 242,138.11/x
  3. Step 3: Cross multiply
    157,532.34x = 242,138.11 × 242,138.11
  4. Step 4: Simplify right side
    157,532.34x = 58,630,864,011.70
  5. Step 5: Solve for x
    x = 58,630,864,011.70/157,532.34
  6. Step 6: Final answer
    x = 372,183.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.