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Finding the Third Proportional to 237,392 and 357,096

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Solution

The third proportional to 237,392 and 357,096 is: 537,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,392 : 357,096 = 357,096 : x
  2. Step 2: Convert to fraction form
    237,392/357,096 = 357,096/x
  3. Step 3: Cross multiply
    237,392x = 357,096 × 357,096
  4. Step 4: Simplify right side
    237,392x = 127,517,553,216
  5. Step 5: Solve for x
    x = 127,517,553,216/237,392
  6. Step 6: Final answer
    x = 537,160.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.