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Finding the Third Proportional to 175,466.75 and 264,780.25

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Solution

The third proportional to 175,466.75 and 264,780.25 is: 399,554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,466.75 : 264,780.25 = 264,780.25 : x
  2. Step 2: Convert to fraction form
    175,466.75/264,780.25 = 264,780.25/x
  3. Step 3: Cross multiply
    175,466.75x = 264,780.25 × 264,780.25
  4. Step 4: Simplify right side
    175,466.75x = 70,108,580,790.06
  5. Step 5: Solve for x
    x = 70,108,580,790.06/175,466.75
  6. Step 6: Final answer
    x = 399,554.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.