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Finding the Third Proportional to 175,303 and 383,777

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Solution

The third proportional to 175,303 and 383,777 is: 840,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,303 : 383,777 = 383,777 : x
  2. Step 2: Convert to fraction form
    175,303/383,777 = 383,777/x
  3. Step 3: Cross multiply
    175,303x = 383,777 × 383,777
  4. Step 4: Simplify right side
    175,303x = 147,284,785,729
  5. Step 5: Solve for x
    x = 147,284,785,729/175,303
  6. Step 6: Final answer
    x = 840,172.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.