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Finding the Third Proportional to 148,282 and 326,083

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Solution

The third proportional to 148,282 and 326,083 is: 717,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,282 : 326,083 = 326,083 : x
  2. Step 2: Convert to fraction form
    148,282/326,083 = 326,083/x
  3. Step 3: Cross multiply
    148,282x = 326,083 × 326,083
  4. Step 4: Simplify right side
    148,282x = 106,330,122,889
  5. Step 5: Solve for x
    x = 106,330,122,889/148,282
  6. Step 6: Final answer
    x = 717,080.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.