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Finding the Third Proportional to 148,150.50 and 319,467

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Solution

The third proportional to 148,150.50 and 319,467 is: 688,888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,150.50 : 319,467 = 319,467 : x
  2. Step 2: Convert to fraction form
    148,150.50/319,467 = 319,467/x
  3. Step 3: Cross multiply
    148,150.50x = 319,467 × 319,467
  4. Step 4: Simplify right side
    148,150.50x = 102,059,164,089
  5. Step 5: Solve for x
    x = 102,059,164,089/148,150.50
  6. Step 6: Final answer
    x = 688,888.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.