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Finding the Third Proportional to 175,326.75 and 383,458.50

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Solution

The third proportional to 175,326.75 and 383,458.50 is: 838,665.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,326.75 : 383,458.50 = 383,458.50 : x
  2. Step 2: Convert to fraction form
    175,326.75/383,458.50 = 383,458.50/x
  3. Step 3: Cross multiply
    175,326.75x = 383,458.50 × 383,458.50
  4. Step 4: Simplify right side
    175,326.75x = 147,040,421,222.25
  5. Step 5: Solve for x
    x = 147,040,421,222.25/175,326.75
  6. Step 6: Final answer
    x = 838,665.07

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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.