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Finding the Third Proportional to 176,920 and 370,228

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Solution

The third proportional to 176,920 and 370,228 is: 774,750.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,920 : 370,228 = 370,228 : x
  2. Step 2: Convert to fraction form
    176,920/370,228 = 370,228/x
  3. Step 3: Cross multiply
    176,920x = 370,228 × 370,228
  4. Step 4: Simplify right side
    176,920x = 137,068,771,984
  5. Step 5: Solve for x
    x = 137,068,771,984/176,920
  6. Step 6: Final answer
    x = 774,750.01

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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.