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Finding the Third Proportional to 190,012.50 and 410,157

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Solution

The third proportional to 190,012.50 and 410,157 is: 885,356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,012.50 : 410,157 = 410,157 : x
  2. Step 2: Convert to fraction form
    190,012.50/410,157 = 410,157/x
  3. Step 3: Cross multiply
    190,012.50x = 410,157 × 410,157
  4. Step 4: Simplify right side
    190,012.50x = 168,228,764,649
  5. Step 5: Solve for x
    x = 168,228,764,649/190,012.50
  6. Step 6: Final answer
    x = 885,356.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.