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Finding the Third Proportional to 174,912 and 383,448

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Solution

The third proportional to 174,912 and 383,448 is: 840,607.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,912 : 383,448 = 383,448 : x
  2. Step 2: Convert to fraction form
    174,912/383,448 = 383,448/x
  3. Step 3: Cross multiply
    174,912x = 383,448 × 383,448
  4. Step 4: Simplify right side
    174,912x = 147,032,368,704
  5. Step 5: Solve for x
    x = 147,032,368,704/174,912
  6. Step 6: Final answer
    x = 840,607.67

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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.