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Finding the Third Proportional to 261,364.50 and 384,391.13

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Solution

The third proportional to 261,364.50 and 384,391.13 is: 565,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,364.50 : 384,391.13 = 384,391.13 : x
  2. Step 2: Convert to fraction form
    261,364.50/384,391.13 = 384,391.13/x
  3. Step 3: Cross multiply
    261,364.50x = 384,391.13 × 384,391.13
  4. Step 4: Simplify right side
    261,364.50x = 147,756,536,978.77
  5. Step 5: Solve for x
    x = 147,756,536,978.77/261,364.50
  6. Step 6: Final answer
    x = 565,327.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.