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Finding the Third Proportional to 157,216 and 241,605

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Solution

The third proportional to 157,216 and 241,605 is: 371,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,216 : 241,605 = 241,605 : x
  2. Step 2: Convert to fraction form
    157,216/241,605 = 241,605/x
  3. Step 3: Cross multiply
    157,216x = 241,605 × 241,605
  4. Step 4: Simplify right side
    157,216x = 58,372,976,025
  5. Step 5: Solve for x
    x = 58,372,976,025/157,216
  6. Step 6: Final answer
    x = 371,291.57

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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.