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Finding the Third Proportional to 205,382 and 441,118

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Solution

The third proportional to 205,382 and 441,118 is: 947,430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,382 : 441,118 = 441,118 : x
  2. Step 2: Convert to fraction form
    205,382/441,118 = 441,118/x
  3. Step 3: Cross multiply
    205,382x = 441,118 × 441,118
  4. Step 4: Simplify right side
    205,382x = 194,585,089,924
  5. Step 5: Solve for x
    x = 194,585,089,924/205,382
  6. Step 6: Final answer
    x = 947,430.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.