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Finding the Third Proportional to 261,312.33 and 367,996.92

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Solution

The third proportional to 261,312.33 and 367,996.92 is: 518,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,312.33 : 367,996.92 = 367,996.92 : x
  2. Step 2: Convert to fraction form
    261,312.33/367,996.92 = 367,996.92/x
  3. Step 3: Cross multiply
    261,312.33x = 367,996.92 × 367,996.92
  4. Step 4: Simplify right side
    261,312.33x = 135,421,734,509.48
  5. Step 5: Solve for x
    x = 135,421,734,509.48/261,312.33
  6. Step 6: Final answer
    x = 518,237.07

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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.