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Finding the Third Proportional to 246,099 and 385,549.50

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Solution

The third proportional to 246,099 and 385,549.50 is: 604,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,099 : 385,549.50 = 385,549.50 : x
  2. Step 2: Convert to fraction form
    246,099/385,549.50 = 385,549.50/x
  3. Step 3: Cross multiply
    246,099x = 385,549.50 × 385,549.50
  4. Step 4: Simplify right side
    246,099x = 148,648,416,950.25
  5. Step 5: Solve for x
    x = 148,648,416,950.25/246,099
  6. Step 6: Final answer
    x = 604,018.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.