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Finding the Third Proportional to 175,365 and 383,535

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Solution

The third proportional to 175,365 and 383,535 is: 838,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,365 : 383,535 = 383,535 : x
  2. Step 2: Convert to fraction form
    175,365/383,535 = 383,535/x
  3. Step 3: Cross multiply
    175,365x = 383,535 × 383,535
  4. Step 4: Simplify right side
    175,365x = 147,099,096,225
  5. Step 5: Solve for x
    x = 147,099,096,225/175,365
  6. Step 6: Final answer
    x = 838,816.73

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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.