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Finding the Third Proportional to 155,063 and 232,595

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Solution

The third proportional to 155,063 and 232,595 is: 348,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,063 : 232,595 = 232,595 : x
  2. Step 2: Convert to fraction form
    155,063/232,595 = 232,595/x
  3. Step 3: Cross multiply
    155,063x = 232,595 × 232,595
  4. Step 4: Simplify right side
    155,063x = 54,100,434,025
  5. Step 5: Solve for x
    x = 54,100,434,025/155,063
  6. Step 6: Final answer
    x = 348,893.25

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Why These Related Problems?

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