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Finding the Third Proportional to 141,535.50 and 309,316.50

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Solution

The third proportional to 141,535.50 and 309,316.50 is: 675,990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,535.50 : 309,316.50 = 309,316.50 : x
  2. Step 2: Convert to fraction form
    141,535.50/309,316.50 = 309,316.50/x
  3. Step 3: Cross multiply
    141,535.50x = 309,316.50 × 309,316.50
  4. Step 4: Simplify right side
    141,535.50x = 95,676,697,172.25
  5. Step 5: Solve for x
    x = 95,676,697,172.25/141,535.50
  6. Step 6: Final answer
    x = 675,990.81

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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.