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Finding the Third Proportional to 258,178.50 and 559,245

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Solution

The third proportional to 258,178.50 and 559,245 is: 1,211,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,178.50 : 559,245 = 559,245 : x
  2. Step 2: Convert to fraction form
    258,178.50/559,245 = 559,245/x
  3. Step 3: Cross multiply
    258,178.50x = 559,245 × 559,245
  4. Step 4: Simplify right side
    258,178.50x = 312,754,970,025
  5. Step 5: Solve for x
    x = 312,754,970,025/258,178.50
  6. Step 6: Final answer
    x = 1,211,390.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.