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Finding the Third Proportional to 147,394.69 and 314,092.69

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Solution

The third proportional to 147,394.69 and 314,092.69 is: 669,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,394.69 : 314,092.69 = 314,092.69 : x
  2. Step 2: Convert to fraction form
    147,394.69/314,092.69 = 314,092.69/x
  3. Step 3: Cross multiply
    147,394.69x = 314,092.69 × 314,092.69
  4. Step 4: Simplify right side
    147,394.69x = 98,654,216,340.97
  5. Step 5: Solve for x
    x = 98,654,216,340.97/147,394.69
  6. Step 6: Final answer
    x = 669,320.03

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.