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Finding the Third Proportional to 118,410 and 253,668

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Solution

The third proportional to 118,410 and 253,668 is: 543,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,410 : 253,668 = 253,668 : x
  2. Step 2: Convert to fraction form
    118,410/253,668 = 253,668/x
  3. Step 3: Cross multiply
    118,410x = 253,668 × 253,668
  4. Step 4: Simplify right side
    118,410x = 64,347,454,224
  5. Step 5: Solve for x
    x = 64,347,454,224/118,410
  6. Step 6: Final answer
    x = 543,429.22

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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.