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Finding the Third Proportional to 246,319 and 371,240

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Solution

The third proportional to 246,319 and 371,240 is: 559,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,319 : 371,240 = 371,240 : x
  2. Step 2: Convert to fraction form
    246,319/371,240 = 371,240/x
  3. Step 3: Cross multiply
    246,319x = 371,240 × 371,240
  4. Step 4: Simplify right side
    246,319x = 137,819,137,600
  5. Step 5: Solve for x
    x = 137,819,137,600/246,319
  6. Step 6: Final answer
    x = 559,514.85

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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.