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Finding the Third Proportional to 110,022 and 237,558

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Solution

The third proportional to 110,022 and 237,558 is: 512,931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,022 : 237,558 = 237,558 : x
  2. Step 2: Convert to fraction form
    110,022/237,558 = 237,558/x
  3. Step 3: Cross multiply
    110,022x = 237,558 × 237,558
  4. Step 4: Simplify right side
    110,022x = 56,433,803,364
  5. Step 5: Solve for x
    x = 56,433,803,364/110,022
  6. Step 6: Final answer
    x = 512,931.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.