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Finding the Third Proportional to 152,392 and 237,314

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Solution

The third proportional to 152,392 and 237,314 is: 369,559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,392 : 237,314 = 237,314 : x
  2. Step 2: Convert to fraction form
    152,392/237,314 = 237,314/x
  3. Step 3: Cross multiply
    152,392x = 237,314 × 237,314
  4. Step 4: Simplify right side
    152,392x = 56,317,934,596
  5. Step 5: Solve for x
    x = 56,317,934,596/152,392
  6. Step 6: Final answer
    x = 369,559.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.