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Finding the Third Proportional to 195,582.66 and 452,776.22

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Solution

The third proportional to 195,582.66 and 452,776.22 is: 1,048,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,582.66 : 452,776.22 = 452,776.22 : x
  2. Step 2: Convert to fraction form
    195,582.66/452,776.22 = 452,776.22/x
  3. Step 3: Cross multiply
    195,582.66x = 452,776.22 × 452,776.22
  4. Step 4: Simplify right side
    195,582.66x = 205,006,304,265.55
  5. Step 5: Solve for x
    x = 205,006,304,265.55/195,582.66
  6. Step 6: Final answer
    x = 1,048,182.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.