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Finding the Third Proportional to 157,063 and 341,774

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Solution

The third proportional to 157,063 and 341,774 is: 743,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,063 : 341,774 = 341,774 : x
  2. Step 2: Convert to fraction form
    157,063/341,774 = 341,774/x
  3. Step 3: Cross multiply
    157,063x = 341,774 × 341,774
  4. Step 4: Simplify right side
    157,063x = 116,809,467,076
  5. Step 5: Solve for x
    x = 116,809,467,076/157,063
  6. Step 6: Final answer
    x = 743,710.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.