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Finding the Third Proportional to 152,378 and 232,436

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Solution

The third proportional to 152,378 and 232,436 is: 354,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,378 : 232,436 = 232,436 : x
  2. Step 2: Convert to fraction form
    152,378/232,436 = 232,436/x
  3. Step 3: Cross multiply
    152,378x = 232,436 × 232,436
  4. Step 4: Simplify right side
    152,378x = 54,026,494,096
  5. Step 5: Solve for x
    x = 54,026,494,096/152,378
  6. Step 6: Final answer
    x = 354,555.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.