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Finding the Third Proportional to 118,490 and 188,439

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Solution

The third proportional to 118,490 and 188,439 is: 299,681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,490 : 188,439 = 188,439 : x
  2. Step 2: Convert to fraction form
    118,490/188,439 = 188,439/x
  3. Step 3: Cross multiply
    118,490x = 188,439 × 188,439
  4. Step 4: Simplify right side
    118,490x = 35,509,256,721
  5. Step 5: Solve for x
    x = 35,509,256,721/118,490
  6. Step 6: Final answer
    x = 299,681.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.