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Finding the Third Proportional to 174,603.38 and 383,499

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Solution

The third proportional to 174,603.38 and 383,499 is: 842,317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,603.38 : 383,499 = 383,499 : x
  2. Step 2: Convert to fraction form
    174,603.38/383,499 = 383,499/x
  3. Step 3: Cross multiply
    174,603.38x = 383,499 × 383,499
  4. Step 4: Simplify right side
    174,603.38x = 147,071,483,001
  5. Step 5: Solve for x
    x = 147,071,483,001/174,603.38
  6. Step 6: Final answer
    x = 842,317.53

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