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Finding the Third Proportional to 137,225 and 300,369

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Solution

The third proportional to 137,225 and 300,369 is: 657,471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,225 : 300,369 = 300,369 : x
  2. Step 2: Convert to fraction form
    137,225/300,369 = 300,369/x
  3. Step 3: Cross multiply
    137,225x = 300,369 × 300,369
  4. Step 4: Simplify right side
    137,225x = 90,221,536,161
  5. Step 5: Solve for x
    x = 90,221,536,161/137,225
  6. Step 6: Final answer
    x = 657,471.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.