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Finding the Third Proportional to 157,588 and 242,213

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Solution

The third proportional to 157,588 and 242,213 is: 372,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,588 : 242,213 = 242,213 : x
  2. Step 2: Convert to fraction form
    157,588/242,213 = 242,213/x
  3. Step 3: Cross multiply
    157,588x = 242,213 × 242,213
  4. Step 4: Simplify right side
    157,588x = 58,667,137,369
  5. Step 5: Solve for x
    x = 58,667,137,369/157,588
  6. Step 6: Final answer
    x = 372,281.76

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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.