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Finding the Third Proportional to 160,742 and 242,570

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Solution

The third proportional to 160,742 and 242,570 is: 366,053.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,742 : 242,570 = 242,570 : x
  2. Step 2: Convert to fraction form
    160,742/242,570 = 242,570/x
  3. Step 3: Cross multiply
    160,742x = 242,570 × 242,570
  4. Step 4: Simplify right side
    160,742x = 58,840,204,900
  5. Step 5: Solve for x
    x = 58,840,204,900/160,742
  6. Step 6: Final answer
    x = 366,053.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.