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Finding the Third Proportional to 184,810.50 and 404,977.50

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Solution

The third proportional to 184,810.50 and 404,977.50 is: 887,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,810.50 : 404,977.50 = 404,977.50 : x
  2. Step 2: Convert to fraction form
    184,810.50/404,977.50 = 404,977.50/x
  3. Step 3: Cross multiply
    184,810.50x = 404,977.50 × 404,977.50
  4. Step 4: Simplify right side
    184,810.50x = 164,006,775,506.25
  5. Step 5: Solve for x
    x = 164,006,775,506.25/184,810.50
  6. Step 6: Final answer
    x = 887,432.13

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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.