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Finding the Third Proportional to 174,648.18 and 360,444.94

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Solution

The third proportional to 174,648.18 and 360,444.94 is: 743,898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,648.18 : 360,444.94 = 360,444.94 : x
  2. Step 2: Convert to fraction form
    174,648.18/360,444.94 = 360,444.94/x
  3. Step 3: Cross multiply
    174,648.18x = 360,444.94 × 360,444.94
  4. Step 4: Simplify right side
    174,648.18x = 129,920,552,969.38
  5. Step 5: Solve for x
    x = 129,920,552,969.38/174,648.18
  6. Step 6: Final answer
    x = 743,898.69

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.