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Finding the Third Proportional to 261,282 and 367,944

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Solution

The third proportional to 261,282 and 367,944 is: 518,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,282 : 367,944 = 367,944 : x
  2. Step 2: Convert to fraction form
    261,282/367,944 = 367,944/x
  3. Step 3: Cross multiply
    261,282x = 367,944 × 367,944
  4. Step 4: Simplify right side
    261,282x = 135,382,787,136
  5. Step 5: Solve for x
    x = 135,382,787,136/261,282
  6. Step 6: Final answer
    x = 518,148.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.