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Finding the Third Proportional to 137,628 and 291,795

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Solution

The third proportional to 137,628 and 291,795 is: 618,655.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,628 : 291,795 = 291,795 : x
  2. Step 2: Convert to fraction form
    137,628/291,795 = 291,795/x
  3. Step 3: Cross multiply
    137,628x = 291,795 × 291,795
  4. Step 4: Simplify right side
    137,628x = 85,144,322,025
  5. Step 5: Solve for x
    x = 85,144,322,025/137,628
  6. Step 6: Final answer
    x = 618,655.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.