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Finding the Third Proportional to 176,906.50 and 370,215.50

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Solution

The third proportional to 176,906.50 and 370,215.50 is: 774,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,906.50 : 370,215.50 = 370,215.50 : x
  2. Step 2: Convert to fraction form
    176,906.50/370,215.50 = 370,215.50/x
  3. Step 3: Cross multiply
    176,906.50x = 370,215.50 × 370,215.50
  4. Step 4: Simplify right side
    176,906.50x = 137,059,516,440.25
  5. Step 5: Solve for x
    x = 137,059,516,440.25/176,906.50
  6. Step 6: Final answer
    x = 774,756.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.