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Finding the Third Proportional to 148,078.69 and 319,798.69

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Solution

The third proportional to 148,078.69 and 319,798.69 is: 690,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,078.69 : 319,798.69 = 319,798.69 : x
  2. Step 2: Convert to fraction form
    148,078.69/319,798.69 = 319,798.69/x
  3. Step 3: Cross multiply
    148,078.69x = 319,798.69 × 319,798.69
  4. Step 4: Simplify right side
    148,078.69x = 102,271,200,526.72
  5. Step 5: Solve for x
    x = 102,271,200,526.72/148,078.69
  6. Step 6: Final answer
    x = 690,654.42

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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.