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Finding the Third Proportional to 184,492.69 and 400,970.25

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Solution

The third proportional to 184,492.69 and 400,970.25 is: 871,455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,492.69 : 400,970.25 = 400,970.25 : x
  2. Step 2: Convert to fraction form
    184,492.69/400,970.25 = 400,970.25/x
  3. Step 3: Cross multiply
    184,492.69x = 400,970.25 × 400,970.25
  4. Step 4: Simplify right side
    184,492.69x = 160,777,141,385.06
  5. Step 5: Solve for x
    x = 160,777,141,385.06/184,492.69
  6. Step 6: Final answer
    x = 871,455.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.