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Finding the Third Proportional to 137,253 and 297,415

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Solution

The third proportional to 137,253 and 297,415 is: 644,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,253 : 297,415 = 297,415 : x
  2. Step 2: Convert to fraction form
    137,253/297,415 = 297,415/x
  3. Step 3: Cross multiply
    137,253x = 297,415 × 297,415
  4. Step 4: Simplify right side
    137,253x = 88,455,682,225
  5. Step 5: Solve for x
    x = 88,455,682,225/137,253
  6. Step 6: Final answer
    x = 644,471.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.