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Finding the Third Proportional to 176,574.50 and 383,250.50

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Solution

The third proportional to 176,574.50 and 383,250.50 is: 831,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,574.50 : 383,250.50 = 383,250.50 : x
  2. Step 2: Convert to fraction form
    176,574.50/383,250.50 = 383,250.50/x
  3. Step 3: Cross multiply
    176,574.50x = 383,250.50 × 383,250.50
  4. Step 4: Simplify right side
    176,574.50x = 146,880,945,750.25
  5. Step 5: Solve for x
    x = 146,880,945,750.25/176,574.50
  6. Step 6: Final answer
    x = 831,835.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.