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Finding the Third Proportional to 114,477 and 248,658

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Solution

The third proportional to 114,477 and 248,658 is: 540,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,477 : 248,658 = 248,658 : x
  2. Step 2: Convert to fraction form
    114,477/248,658 = 248,658/x
  3. Step 3: Cross multiply
    114,477x = 248,658 × 248,658
  4. Step 4: Simplify right side
    114,477x = 61,830,800,964
  5. Step 5: Solve for x
    x = 61,830,800,964/114,477
  6. Step 6: Final answer
    x = 540,115.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.