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Finding the Third Proportional to 190,564 and 416,672

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Solution

The third proportional to 190,564 and 416,672 is: 911,061.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,564 : 416,672 = 416,672 : x
  2. Step 2: Convert to fraction form
    190,564/416,672 = 416,672/x
  3. Step 3: Cross multiply
    190,564x = 416,672 × 416,672
  4. Step 4: Simplify right side
    190,564x = 173,615,555,584
  5. Step 5: Solve for x
    x = 173,615,555,584/190,564
  6. Step 6: Final answer
    x = 911,061.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.