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Finding the Third Proportional to 237,105 and 452,340

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Solution

The third proportional to 237,105 and 452,340 is: 862,957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,105 : 452,340 = 452,340 : x
  2. Step 2: Convert to fraction form
    237,105/452,340 = 452,340/x
  3. Step 3: Cross multiply
    237,105x = 452,340 × 452,340
  4. Step 4: Simplify right side
    237,105x = 204,611,475,600
  5. Step 5: Solve for x
    x = 204,611,475,600/237,105
  6. Step 6: Final answer
    x = 862,957.24

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.