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Finding the Third Proportional to 114,230 and 245,964

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Solution

The third proportional to 114,230 and 245,964 is: 529,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,230 : 245,964 = 245,964 : x
  2. Step 2: Convert to fraction form
    114,230/245,964 = 245,964/x
  3. Step 3: Cross multiply
    114,230x = 245,964 × 245,964
  4. Step 4: Simplify right side
    114,230x = 60,498,289,296
  5. Step 5: Solve for x
    x = 60,498,289,296/114,230
  6. Step 6: Final answer
    x = 529,618.22

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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.