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Finding the Third Proportional to 113,933.25 and 245,396.25

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Solution

The third proportional to 113,933.25 and 245,396.25 is: 528,549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,933.25 : 245,396.25 = 245,396.25 : x
  2. Step 2: Convert to fraction form
    113,933.25/245,396.25 = 245,396.25/x
  3. Step 3: Cross multiply
    113,933.25x = 245,396.25 × 245,396.25
  4. Step 4: Simplify right side
    113,933.25x = 60,219,319,514.06
  5. Step 5: Solve for x
    x = 60,219,319,514.06/113,933.25
  6. Step 6: Final answer
    x = 528,549.12

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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.