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Finding the Third Proportional to 133,236 and 286,236

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Solution

The third proportional to 133,236 and 286,236 is: 614,931.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,236 : 286,236 = 286,236 : x
  2. Step 2: Convert to fraction form
    133,236/286,236 = 286,236/x
  3. Step 3: Cross multiply
    133,236x = 286,236 × 286,236
  4. Step 4: Simplify right side
    133,236x = 81,931,047,696
  5. Step 5: Solve for x
    x = 81,931,047,696/133,236
  6. Step 6: Final answer
    x = 614,931.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.