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Finding the Third Proportional to 190,636.41 and 410,820.19

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Solution

The third proportional to 190,636.41 and 410,820.19 is: 885,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,636.41 : 410,820.19 = 410,820.19 : x
  2. Step 2: Convert to fraction form
    190,636.41/410,820.19 = 410,820.19/x
  3. Step 3: Cross multiply
    190,636.41x = 410,820.19 × 410,820.19
  4. Step 4: Simplify right side
    190,636.41x = 168,773,226,457.54
  5. Step 5: Solve for x
    x = 168,773,226,457.54/190,636.41
  6. Step 6: Final answer
    x = 885,314.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.