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Finding the Third Proportional to 246,321 and 371,243

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Solution

The third proportional to 246,321 and 371,243 is: 559,519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,321 : 371,243 = 371,243 : x
  2. Step 2: Convert to fraction form
    246,321/371,243 = 371,243/x
  3. Step 3: Cross multiply
    246,321x = 371,243 × 371,243
  4. Step 4: Simplify right side
    246,321x = 137,821,365,049
  5. Step 5: Solve for x
    x = 137,821,365,049/246,321
  6. Step 6: Final answer
    x = 559,519.35

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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.