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Finding the Third Proportional to 245,525.25 and 383,211

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Solution

The third proportional to 245,525.25 and 383,211 is: 598,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,525.25 : 383,211 = 383,211 : x
  2. Step 2: Convert to fraction form
    245,525.25/383,211 = 383,211/x
  3. Step 3: Cross multiply
    245,525.25x = 383,211 × 383,211
  4. Step 4: Simplify right side
    245,525.25x = 146,850,670,521
  5. Step 5: Solve for x
    x = 146,850,670,521/245,525.25
  6. Step 6: Final answer
    x = 598,108.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.