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Finding the Third Proportional to 238,131 and 357,165

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Solution

The third proportional to 238,131 and 357,165 is: 535,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,131 : 357,165 = 357,165 : x
  2. Step 2: Convert to fraction form
    238,131/357,165 = 357,165/x
  3. Step 3: Cross multiply
    238,131x = 357,165 × 357,165
  4. Step 4: Simplify right side
    238,131x = 127,566,837,225
  5. Step 5: Solve for x
    x = 127,566,837,225/238,131
  6. Step 6: Final answer
    x = 535,700.25

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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.