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Finding the Third Proportional to 175,252.50 and 262,582.88

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Solution

The third proportional to 175,252.50 and 262,582.88 is: 393,431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,252.50 : 262,582.88 = 262,582.88 : x
  2. Step 2: Convert to fraction form
    175,252.50/262,582.88 = 262,582.88/x
  3. Step 3: Cross multiply
    175,252.50x = 262,582.88 × 262,582.88
  4. Step 4: Simplify right side
    175,252.50x = 68,949,766,243.27
  5. Step 5: Solve for x
    x = 68,949,766,243.27/175,252.50
  6. Step 6: Final answer
    x = 393,431.00

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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.