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Finding the Third Proportional to 180,643.50 and 393,460.50

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Solution

The third proportional to 180,643.50 and 393,460.50 is: 856,998.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,643.50 : 393,460.50 = 393,460.50 : x
  2. Step 2: Convert to fraction form
    180,643.50/393,460.50 = 393,460.50/x
  3. Step 3: Cross multiply
    180,643.50x = 393,460.50 × 393,460.50
  4. Step 4: Simplify right side
    180,643.50x = 154,811,165,060.25
  5. Step 5: Solve for x
    x = 154,811,165,060.25/180,643.50
  6. Step 6: Final answer
    x = 856,998.26

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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.