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Finding the Third Proportional to 157,808 and 344,533

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Solution

The third proportional to 157,808 and 344,533 is: 752,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,808 : 344,533 = 344,533 : x
  2. Step 2: Convert to fraction form
    157,808/344,533 = 344,533/x
  3. Step 3: Cross multiply
    157,808x = 344,533 × 344,533
  4. Step 4: Simplify right side
    157,808x = 118,702,988,089
  5. Step 5: Solve for x
    x = 118,702,988,089/157,808
  6. Step 6: Final answer
    x = 752,198.80

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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.