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Finding the Third Proportional to 144,171 and 309,652.50

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Solution

The third proportional to 144,171 and 309,652.50 is: 665,075.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,171 : 309,652.50 = 309,652.50 : x
  2. Step 2: Convert to fraction form
    144,171/309,652.50 = 309,652.50/x
  3. Step 3: Cross multiply
    144,171x = 309,652.50 × 309,652.50
  4. Step 4: Simplify right side
    144,171x = 95,884,670,756.25
  5. Step 5: Solve for x
    x = 95,884,670,756.25/144,171
  6. Step 6: Final answer
    x = 665,075.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.