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Finding the Third Proportional to 143,299.13 and 309,946.50

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Solution

The third proportional to 143,299.13 and 309,946.50 is: 670,393.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,299.13 : 309,946.50 = 309,946.50 : x
  2. Step 2: Convert to fraction form
    143,299.13/309,946.50 = 309,946.50/x
  3. Step 3: Cross multiply
    143,299.13x = 309,946.50 × 309,946.50
  4. Step 4: Simplify right side
    143,299.13x = 96,066,832,862.25
  5. Step 5: Solve for x
    x = 96,066,832,862.25/143,299.13
  6. Step 6: Final answer
    x = 670,393.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.