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Finding the Third Proportional to 118,472 and 253,328

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Solution

The third proportional to 118,472 and 253,328 is: 541,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,472 : 253,328 = 253,328 : x
  2. Step 2: Convert to fraction form
    118,472/253,328 = 253,328/x
  3. Step 3: Cross multiply
    118,472x = 253,328 × 253,328
  4. Step 4: Simplify right side
    118,472x = 64,175,075,584
  5. Step 5: Solve for x
    x = 64,175,075,584/118,472
  6. Step 6: Final answer
    x = 541,689.81

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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.