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Finding the Third Proportional to 205,304.63 and 307,121.63

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Solution

The third proportional to 205,304.63 and 307,121.63 is: 459,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,304.63 : 307,121.63 = 307,121.63 : x
  2. Step 2: Convert to fraction form
    205,304.63/307,121.63 = 307,121.63/x
  3. Step 3: Cross multiply
    205,304.63x = 307,121.63 × 307,121.63
  4. Step 4: Simplify right side
    205,304.63x = 94,323,692,542.64
  5. Step 5: Solve for x
    x = 94,323,692,542.64/205,304.63
  6. Step 6: Final answer
    x = 459,432.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.