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Finding the Third Proportional to 141,009 and 215,977.50

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Solution

The third proportional to 141,009 and 215,977.50 is: 330,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,009 : 215,977.50 = 215,977.50 : x
  2. Step 2: Convert to fraction form
    141,009/215,977.50 = 215,977.50/x
  3. Step 3: Cross multiply
    141,009x = 215,977.50 × 215,977.50
  4. Step 4: Simplify right side
    141,009x = 46,646,280,506.25
  5. Step 5: Solve for x
    x = 46,646,280,506.25/141,009
  6. Step 6: Final answer
    x = 330,803.57

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.