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Finding the Third Proportional to 184,608 and 403,384.50

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Solution

The third proportional to 184,608 and 403,384.50 is: 881,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,608 : 403,384.50 = 403,384.50 : x
  2. Step 2: Convert to fraction form
    184,608/403,384.50 = 403,384.50/x
  3. Step 3: Cross multiply
    184,608x = 403,384.50 × 403,384.50
  4. Step 4: Simplify right side
    184,608x = 162,719,054,840.25
  5. Step 5: Solve for x
    x = 162,719,054,840.25/184,608
  6. Step 6: Final answer
    x = 881,430.14

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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.