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Finding the Third Proportional to 152,414 and 237,343

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Solution

The third proportional to 152,414 and 237,343 is: 369,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,414 : 237,343 = 237,343 : x
  2. Step 2: Convert to fraction form
    152,414/237,343 = 237,343/x
  3. Step 3: Cross multiply
    152,414x = 237,343 × 237,343
  4. Step 4: Simplify right side
    152,414x = 56,331,699,649
  5. Step 5: Solve for x
    x = 56,331,699,649/152,414
  6. Step 6: Final answer
    x = 369,596.62

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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.