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Finding the Third Proportional to 242,568 and 368,748

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Solution

The third proportional to 242,568 and 368,748 is: 560,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,568 : 368,748 = 368,748 : x
  2. Step 2: Convert to fraction form
    242,568/368,748 = 368,748/x
  3. Step 3: Cross multiply
    242,568x = 368,748 × 368,748
  4. Step 4: Simplify right side
    242,568x = 135,975,087,504
  5. Step 5: Solve for x
    x = 135,975,087,504/242,568
  6. Step 6: Final answer
    x = 560,564.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.