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Finding the Third Proportional to 176,908 and 370,220

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Solution

The third proportional to 176,908 and 370,220 is: 774,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,908 : 370,220 = 370,220 : x
  2. Step 2: Convert to fraction form
    176,908/370,220 = 370,220/x
  3. Step 3: Cross multiply
    176,908x = 370,220 × 370,220
  4. Step 4: Simplify right side
    176,908x = 137,062,848,400
  5. Step 5: Solve for x
    x = 137,062,848,400/176,908
  6. Step 6: Final answer
    x = 774,769.08

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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.