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Finding the Third Proportional to 157,864 and 241,495

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Solution

The third proportional to 157,864 and 241,495 is: 369,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,864 : 241,495 = 241,495 : x
  2. Step 2: Convert to fraction form
    157,864/241,495 = 241,495/x
  3. Step 3: Cross multiply
    157,864x = 241,495 × 241,495
  4. Step 4: Simplify right side
    157,864x = 58,319,835,025
  5. Step 5: Solve for x
    x = 58,319,835,025/157,864
  6. Step 6: Final answer
    x = 369,430.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.