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Finding the Third Proportional to 183,432.09 and 401,603.06

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Solution

The third proportional to 183,432.09 and 401,603.06 is: 879,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,432.09 : 401,603.06 = 401,603.06 : x
  2. Step 2: Convert to fraction form
    183,432.09/401,603.06 = 401,603.06/x
  3. Step 3: Cross multiply
    183,432.09x = 401,603.06 × 401,603.06
  4. Step 4: Simplify right side
    183,432.09x = 161,285,019,809.38
  5. Step 5: Solve for x
    x = 161,285,019,809.38/183,432.09
  6. Step 6: Final answer
    x = 879,262.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.