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Finding the Third Proportional to 134,493 and 188,490

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Solution

The third proportional to 134,493 and 188,490 is: 264,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,493 : 188,490 = 188,490 : x
  2. Step 2: Convert to fraction form
    134,493/188,490 = 188,490/x
  3. Step 3: Cross multiply
    134,493x = 188,490 × 188,490
  4. Step 4: Simplify right side
    134,493x = 35,528,480,100
  5. Step 5: Solve for x
    x = 35,528,480,100/134,493
  6. Step 6: Final answer
    x = 264,166.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.