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Finding the Third Proportional to 242,161 and 532,078

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Solution

The third proportional to 242,161 and 532,078 is: 1,169,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,161 : 532,078 = 532,078 : x
  2. Step 2: Convert to fraction form
    242,161/532,078 = 532,078/x
  3. Step 3: Cross multiply
    242,161x = 532,078 × 532,078
  4. Step 4: Simplify right side
    242,161x = 283,106,998,084
  5. Step 5: Solve for x
    x = 283,106,998,084/242,161
  6. Step 6: Final answer
    x = 1,169,085.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.