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Finding the Third Proportional to 137,403 and 295,533

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Solution

The third proportional to 137,403 and 295,533 is: 635,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,403 : 295,533 = 295,533 : x
  2. Step 2: Convert to fraction form
    137,403/295,533 = 295,533/x
  3. Step 3: Cross multiply
    137,403x = 295,533 × 295,533
  4. Step 4: Simplify right side
    137,403x = 87,339,754,089
  5. Step 5: Solve for x
    x = 87,339,754,089/137,403
  6. Step 6: Final answer
    x = 635,646.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.