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Finding the Third Proportional to 157,061 and 341,770

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Solution

The third proportional to 157,061 and 341,770 is: 743,702.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,061 : 341,770 = 341,770 : x
  2. Step 2: Convert to fraction form
    157,061/341,770 = 341,770/x
  3. Step 3: Cross multiply
    157,061x = 341,770 × 341,770
  4. Step 4: Simplify right side
    157,061x = 116,806,732,900
  5. Step 5: Solve for x
    x = 116,806,732,900/157,061
  6. Step 6: Final answer
    x = 743,702.97

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