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Finding the Third Proportional to 162,072 and 242,448

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Solution

The third proportional to 162,072 and 242,448 is: 362,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,072 : 242,448 = 242,448 : x
  2. Step 2: Convert to fraction form
    162,072/242,448 = 242,448/x
  3. Step 3: Cross multiply
    162,072x = 242,448 × 242,448
  4. Step 4: Simplify right side
    162,072x = 58,781,032,704
  5. Step 5: Solve for x
    x = 58,781,032,704/162,072
  6. Step 6: Final answer
    x = 362,684.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.