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Finding the Third Proportional to 246,160 and 536,672

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Solution

The third proportional to 246,160 and 536,672 is: 1,170,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,160 : 536,672 = 536,672 : x
  2. Step 2: Convert to fraction form
    246,160/536,672 = 536,672/x
  3. Step 3: Cross multiply
    246,160x = 536,672 × 536,672
  4. Step 4: Simplify right side
    246,160x = 288,016,835,584
  5. Step 5: Solve for x
    x = 288,016,835,584/246,160
  6. Step 6: Final answer
    x = 1,170,039.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.