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Finding the Third Proportional to 114,322 and 247,724

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Solution

The third proportional to 114,322 and 247,724 is: 536,792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,322 : 247,724 = 247,724 : x
  2. Step 2: Convert to fraction form
    114,322/247,724 = 247,724/x
  3. Step 3: Cross multiply
    114,322x = 247,724 × 247,724
  4. Step 4: Simplify right side
    114,322x = 61,367,180,176
  5. Step 5: Solve for x
    x = 61,367,180,176/114,322
  6. Step 6: Final answer
    x = 536,792.39

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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.