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Finding the Third Proportional to 246,416 and 359,936

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Solution

The third proportional to 246,416 and 359,936 is: 525,752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,416 : 359,936 = 359,936 : x
  2. Step 2: Convert to fraction form
    246,416/359,936 = 359,936/x
  3. Step 3: Cross multiply
    246,416x = 359,936 × 359,936
  4. Step 4: Simplify right side
    246,416x = 129,553,924,096
  5. Step 5: Solve for x
    x = 129,553,924,096/246,416
  6. Step 6: Final answer
    x = 525,752.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.