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Finding the Third Proportional to 246,098 and 362,235

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Solution

The third proportional to 246,098 and 362,235 is: 533,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,098 : 362,235 = 362,235 : x
  2. Step 2: Convert to fraction form
    246,098/362,235 = 362,235/x
  3. Step 3: Cross multiply
    246,098x = 362,235 × 362,235
  4. Step 4: Simplify right side
    246,098x = 131,214,195,225
  5. Step 5: Solve for x
    x = 131,214,195,225/246,098
  6. Step 6: Final answer
    x = 533,178.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.