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Finding the Third Proportional to 114,669 and 245,031.75

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Solution

The third proportional to 114,669 and 245,031.75 is: 523,598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,669 : 245,031.75 = 245,031.75 : x
  2. Step 2: Convert to fraction form
    114,669/245,031.75 = 245,031.75/x
  3. Step 3: Cross multiply
    114,669x = 245,031.75 × 245,031.75
  4. Step 4: Simplify right side
    114,669x = 60,040,558,508.06
  5. Step 5: Solve for x
    x = 60,040,558,508.06/114,669
  6. Step 6: Final answer
    x = 523,598.87

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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.