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Finding the Third Proportional to 155,328 and 232,752

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Solution

The third proportional to 155,328 and 232,752 is: 348,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,328 : 232,752 = 232,752 : x
  2. Step 2: Convert to fraction form
    155,328/232,752 = 232,752/x
  3. Step 3: Cross multiply
    155,328x = 232,752 × 232,752
  4. Step 4: Simplify right side
    155,328x = 54,173,493,504
  5. Step 5: Solve for x
    x = 54,173,493,504/155,328
  6. Step 6: Final answer
    x = 348,768.37

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