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Finding the Third Proportional to 111,236 and 235,528

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Solution

The third proportional to 111,236 and 235,528 is: 498,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,236 : 235,528 = 235,528 : x
  2. Step 2: Convert to fraction form
    111,236/235,528 = 235,528/x
  3. Step 3: Cross multiply
    111,236x = 235,528 × 235,528
  4. Step 4: Simplify right side
    111,236x = 55,473,438,784
  5. Step 5: Solve for x
    x = 55,473,438,784/111,236
  6. Step 6: Final answer
    x = 498,700.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.