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Finding the Third Proportional to 157,056 and 341,760

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Solution

The third proportional to 157,056 and 341,760 is: 743,683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,056 : 341,760 = 341,760 : x
  2. Step 2: Convert to fraction form
    157,056/341,760 = 341,760/x
  3. Step 3: Cross multiply
    157,056x = 341,760 × 341,760
  4. Step 4: Simplify right side
    157,056x = 116,799,897,600
  5. Step 5: Solve for x
    x = 116,799,897,600/157,056
  6. Step 6: Final answer
    x = 743,683.13

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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.