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Finding the Third Proportional to 208,002 and 297,237

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Solution

The third proportional to 208,002 and 297,237 is: 424,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,002 : 297,237 = 297,237 : x
  2. Step 2: Convert to fraction form
    208,002/297,237 = 297,237/x
  3. Step 3: Cross multiply
    208,002x = 297,237 × 297,237
  4. Step 4: Simplify right side
    208,002x = 88,349,834,169
  5. Step 5: Solve for x
    x = 88,349,834,169/208,002
  6. Step 6: Final answer
    x = 424,754.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.