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Finding the Third Proportional to 152,375 and 232,430

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Solution

The third proportional to 152,375 and 232,430 is: 354,544.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,375 : 232,430 = 232,430 : x
  2. Step 2: Convert to fraction form
    152,375/232,430 = 232,430/x
  3. Step 3: Cross multiply
    152,375x = 232,430 × 232,430
  4. Step 4: Simplify right side
    152,375x = 54,023,704,900
  5. Step 5: Solve for x
    x = 54,023,704,900/152,375
  6. Step 6: Final answer
    x = 354,544.41

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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.