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Finding the Third Proportional to 113,974 and 245,475

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Solution

The third proportional to 113,974 and 245,475 is: 528,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,974 : 245,475 = 245,475 : x
  2. Step 2: Convert to fraction form
    113,974/245,475 = 245,475/x
  3. Step 3: Cross multiply
    113,974x = 245,475 × 245,475
  4. Step 4: Simplify right side
    113,974x = 60,257,975,625
  5. Step 5: Solve for x
    x = 60,257,975,625/113,974
  6. Step 6: Final answer
    x = 528,699.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.