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Finding the Third Proportional to 190,446.75 and 409,567.50

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Solution

The third proportional to 190,446.75 and 409,567.50 is: 880,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,446.75 : 409,567.50 = 409,567.50 : x
  2. Step 2: Convert to fraction form
    190,446.75/409,567.50 = 409,567.50/x
  3. Step 3: Cross multiply
    190,446.75x = 409,567.50 × 409,567.50
  4. Step 4: Simplify right side
    190,446.75x = 167,745,537,056.25
  5. Step 5: Solve for x
    x = 167,745,537,056.25/190,446.75
  6. Step 6: Final answer
    x = 880,800.21

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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.