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Finding the Third Proportional to 246,960 and 361,688

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Solution

The third proportional to 246,960 and 361,688 is: 529,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,960 : 361,688 = 361,688 : x
  2. Step 2: Convert to fraction form
    246,960/361,688 = 361,688/x
  3. Step 3: Cross multiply
    246,960x = 361,688 × 361,688
  4. Step 4: Simplify right side
    246,960x = 130,818,209,344
  5. Step 5: Solve for x
    x = 130,818,209,344/246,960
  6. Step 6: Final answer
    x = 529,714.16

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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.