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Finding the Third Proportional to 157,883 and 341,039

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Solution

The third proportional to 157,883 and 341,039 is: 736,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,883 : 341,039 = 341,039 : x
  2. Step 2: Convert to fraction form
    157,883/341,039 = 341,039/x
  3. Step 3: Cross multiply
    157,883x = 341,039 × 341,039
  4. Step 4: Simplify right side
    157,883x = 116,307,599,521
  5. Step 5: Solve for x
    x = 116,307,599,521/157,883
  6. Step 6: Final answer
    x = 736,669.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.