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Finding the Third Proportional to 232,210 and 347,415

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Solution

The third proportional to 232,210 and 347,415 is: 519,775.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,210 : 347,415 = 347,415 : x
  2. Step 2: Convert to fraction form
    232,210/347,415 = 347,415/x
  3. Step 3: Cross multiply
    232,210x = 347,415 × 347,415
  4. Step 4: Simplify right side
    232,210x = 120,697,182,225
  5. Step 5: Solve for x
    x = 120,697,182,225/232,210
  6. Step 6: Final answer
    x = 519,775.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.