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Finding the Third Proportional to 175,306 and 383,783

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Solution

The third proportional to 175,306 and 383,783 is: 840,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,306 : 383,783 = 383,783 : x
  2. Step 2: Convert to fraction form
    175,306/383,783 = 383,783/x
  3. Step 3: Cross multiply
    175,306x = 383,783 × 383,783
  4. Step 4: Simplify right side
    175,306x = 147,289,391,089
  5. Step 5: Solve for x
    x = 147,289,391,089/175,306
  6. Step 6: Final answer
    x = 840,184.54

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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.