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Finding the Third Proportional to 157,896 and 333,531

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Solution

The third proportional to 157,896 and 333,531 is: 704,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,896 : 333,531 = 333,531 : x
  2. Step 2: Convert to fraction form
    157,896/333,531 = 333,531/x
  3. Step 3: Cross multiply
    157,896x = 333,531 × 333,531
  4. Step 4: Simplify right side
    157,896x = 111,242,927,961
  5. Step 5: Solve for x
    x = 111,242,927,961/157,896
  6. Step 6: Final answer
    x = 704,532.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.