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Finding the Third Proportional to 118,373 and 253,594

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Solution

The third proportional to 118,373 and 253,594 is: 543,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,373 : 253,594 = 253,594 : x
  2. Step 2: Convert to fraction form
    118,373/253,594 = 253,594/x
  3. Step 3: Cross multiply
    118,373x = 253,594 × 253,594
  4. Step 4: Simplify right side
    118,373x = 64,309,916,836
  5. Step 5: Solve for x
    x = 64,309,916,836/118,373
  6. Step 6: Final answer
    x = 543,281.97

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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.