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Finding the Third Proportional to 144,631.69 and 314,139.94

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Solution

The third proportional to 144,631.69 and 314,139.94 is: 682,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,631.69 : 314,139.94 = 314,139.94 : x
  2. Step 2: Convert to fraction form
    144,631.69/314,139.94 = 314,139.94/x
  3. Step 3: Cross multiply
    144,631.69x = 314,139.94 × 314,139.94
  4. Step 4: Simplify right side
    144,631.69x = 98,683,900,332.50
  5. Step 5: Solve for x
    x = 98,683,900,332.50/144,631.69
  6. Step 6: Final answer
    x = 682,311.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.