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Finding the Third Proportional to 175,326 and 383,457

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Solution

The third proportional to 175,326 and 383,457 is: 838,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,326 : 383,457 = 383,457 : x
  2. Step 2: Convert to fraction form
    175,326/383,457 = 383,457/x
  3. Step 3: Cross multiply
    175,326x = 383,457 × 383,457
  4. Step 4: Simplify right side
    175,326x = 147,039,270,849
  5. Step 5: Solve for x
    x = 147,039,270,849/175,326
  6. Step 6: Final answer
    x = 838,662.10

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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.