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Finding the Third Proportional to 174,672 and 370,116

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Solution

The third proportional to 174,672 and 370,116 is: 784,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,672 : 370,116 = 370,116 : x
  2. Step 2: Convert to fraction form
    174,672/370,116 = 370,116/x
  3. Step 3: Cross multiply
    174,672x = 370,116 × 370,116
  4. Step 4: Simplify right side
    174,672x = 136,985,853,456
  5. Step 5: Solve for x
    x = 136,985,853,456/174,672
  6. Step 6: Final answer
    x = 784,246.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.