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Finding the Third Proportional to 143,941.50 and 314,086.50

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Solution

The third proportional to 143,941.50 and 314,086.50 is: 685,350.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,941.50 : 314,086.50 = 314,086.50 : x
  2. Step 2: Convert to fraction form
    143,941.50/314,086.50 = 314,086.50/x
  3. Step 3: Cross multiply
    143,941.50x = 314,086.50 × 314,086.50
  4. Step 4: Simplify right side
    143,941.50x = 98,650,329,482.25
  5. Step 5: Solve for x
    x = 98,650,329,482.25/143,941.50
  6. Step 6: Final answer
    x = 685,350.16

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.