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Finding the Third Proportional to 111,760 and 242,442

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Solution

The third proportional to 111,760 and 242,442 is: 525,931.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,760 : 242,442 = 242,442 : x
  2. Step 2: Convert to fraction form
    111,760/242,442 = 242,442/x
  3. Step 3: Cross multiply
    111,760x = 242,442 × 242,442
  4. Step 4: Simplify right side
    111,760x = 58,778,123,364
  5. Step 5: Solve for x
    x = 58,778,123,364/111,760
  6. Step 6: Final answer
    x = 525,931.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.