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Finding the Third Proportional to 180,657.75 and 393,487.50

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Solution

The third proportional to 180,657.75 and 393,487.50 is: 857,048.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,657.75 : 393,487.50 = 393,487.50 : x
  2. Step 2: Convert to fraction form
    180,657.75/393,487.50 = 393,487.50/x
  3. Step 3: Cross multiply
    180,657.75x = 393,487.50 × 393,487.50
  4. Step 4: Simplify right side
    180,657.75x = 154,832,412,656.25
  5. Step 5: Solve for x
    x = 154,832,412,656.25/180,657.75
  6. Step 6: Final answer
    x = 857,048.27

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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.