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Finding the Third Proportional to 180,804.66 and 393,753.66

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Solution

The third proportional to 180,804.66 and 393,753.66 is: 857,510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,804.66 : 393,753.66 = 393,753.66 : x
  2. Step 2: Convert to fraction form
    180,804.66/393,753.66 = 393,753.66/x
  3. Step 3: Cross multiply
    180,804.66x = 393,753.66 × 393,753.66
  4. Step 4: Simplify right side
    180,804.66x = 155,041,941,810.24
  5. Step 5: Solve for x
    x = 155,041,941,810.24/180,804.66
  6. Step 6: Final answer
    x = 857,510.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.