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Finding the Third Proportional to 134,268 and 285,528

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Solution

The third proportional to 134,268 and 285,528 is: 607,190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,268 : 285,528 = 285,528 : x
  2. Step 2: Convert to fraction form
    134,268/285,528 = 285,528/x
  3. Step 3: Cross multiply
    134,268x = 285,528 × 285,528
  4. Step 4: Simplify right side
    134,268x = 81,526,238,784
  5. Step 5: Solve for x
    x = 81,526,238,784/134,268
  6. Step 6: Final answer
    x = 607,190.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.