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Finding the Third Proportional to 175,165.50 and 383,048.25

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Solution

The third proportional to 175,165.50 and 383,048.25 is: 837,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,165.50 : 383,048.25 = 383,048.25 : x
  2. Step 2: Convert to fraction form
    175,165.50/383,048.25 = 383,048.25/x
  3. Step 3: Cross multiply
    175,165.50x = 383,048.25 × 383,048.25
  4. Step 4: Simplify right side
    175,165.50x = 146,725,961,828.06
  5. Step 5: Solve for x
    x = 146,725,961,828.06/175,165.50
  6. Step 6: Final answer
    x = 837,641.90

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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.