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Finding the Third Proportional to 261,636 and 355,078.13

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Solution

The third proportional to 261,636 and 355,078.13 is: 481,892.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,636 : 355,078.13 = 355,078.13 : x
  2. Step 2: Convert to fraction form
    261,636/355,078.13 = 355,078.13/x
  3. Step 3: Cross multiply
    261,636x = 355,078.13 × 355,078.13
  4. Step 4: Simplify right side
    261,636x = 126,080,474,853.52
  5. Step 5: Solve for x
    x = 126,080,474,853.52/261,636
  6. Step 6: Final answer
    x = 481,892.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.