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Finding the Third Proportional to 245,837 and 371,003

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Solution

The third proportional to 245,837 and 371,003 is: 559,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,837 : 371,003 = 371,003 : x
  2. Step 2: Convert to fraction form
    245,837/371,003 = 371,003/x
  3. Step 3: Cross multiply
    245,837x = 371,003 × 371,003
  4. Step 4: Simplify right side
    245,837x = 137,643,226,009
  5. Step 5: Solve for x
    x = 137,643,226,009/245,837
  6. Step 6: Final answer
    x = 559,896.30

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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.