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Finding the Third Proportional to 246,442 and 371,415

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Solution

The third proportional to 246,442 and 371,415 is: 559,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,442 : 371,415 = 371,415 : x
  2. Step 2: Convert to fraction form
    246,442/371,415 = 371,415/x
  3. Step 3: Cross multiply
    246,442x = 371,415 × 371,415
  4. Step 4: Simplify right side
    246,442x = 137,949,102,225
  5. Step 5: Solve for x
    x = 137,949,102,225/246,442
  6. Step 6: Final answer
    x = 559,762.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.