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Finding the Third Proportional to 114,677 and 245,049

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Solution

The third proportional to 114,677 and 245,049 is: 523,636.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,677 : 245,049 = 245,049 : x
  2. Step 2: Convert to fraction form
    114,677/245,049 = 245,049/x
  3. Step 3: Cross multiply
    114,677x = 245,049 × 245,049
  4. Step 4: Simplify right side
    114,677x = 60,049,012,401
  5. Step 5: Solve for x
    x = 60,049,012,401/114,677
  6. Step 6: Final answer
    x = 523,636.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.