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Finding the Third Proportional to 184,413 and 284,806.50

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Solution

The third proportional to 184,413 and 284,806.50 is: 439,853.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,413 : 284,806.50 = 284,806.50 : x
  2. Step 2: Convert to fraction form
    184,413/284,806.50 = 284,806.50/x
  3. Step 3: Cross multiply
    184,413x = 284,806.50 × 284,806.50
  4. Step 4: Simplify right side
    184,413x = 81,114,742,442.25
  5. Step 5: Solve for x
    x = 81,114,742,442.25/184,413
  6. Step 6: Final answer
    x = 439,853.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.