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Finding the Third Proportional to 113,786 and 245,014

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Solution

The third proportional to 113,786 and 245,014 is: 527,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,786 : 245,014 = 245,014 : x
  2. Step 2: Convert to fraction form
    113,786/245,014 = 245,014/x
  3. Step 3: Cross multiply
    113,786x = 245,014 × 245,014
  4. Step 4: Simplify right side
    113,786x = 60,031,860,196
  5. Step 5: Solve for x
    x = 60,031,860,196/113,786
  6. Step 6: Final answer
    x = 527,585.64

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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.