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Finding the Third Proportional to 205,130 and 443,065

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Solution

The third proportional to 205,130 and 443,065 is: 956,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,130 : 443,065 = 443,065 : x
  2. Step 2: Convert to fraction form
    205,130/443,065 = 443,065/x
  3. Step 3: Cross multiply
    205,130x = 443,065 × 443,065
  4. Step 4: Simplify right side
    205,130x = 196,306,594,225
  5. Step 5: Solve for x
    x = 196,306,594,225/205,130
  6. Step 6: Final answer
    x = 956,986.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.