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Finding the Third Proportional to 184,683 and 286,528.50

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Solution

The third proportional to 184,683 and 286,528.50 is: 444,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,683 : 286,528.50 = 286,528.50 : x
  2. Step 2: Convert to fraction form
    184,683/286,528.50 = 286,528.50/x
  3. Step 3: Cross multiply
    184,683x = 286,528.50 × 286,528.50
  4. Step 4: Simplify right side
    184,683x = 82,098,581,312.25
  5. Step 5: Solve for x
    x = 82,098,581,312.25/184,683
  6. Step 6: Final answer
    x = 444,537.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.