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Finding the Third Proportional to 144,880.50 and 212,986.50

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Solution

The third proportional to 144,880.50 and 212,986.50 is: 313,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,880.50 : 212,986.50 = 212,986.50 : x
  2. Step 2: Convert to fraction form
    144,880.50/212,986.50 = 212,986.50/x
  3. Step 3: Cross multiply
    144,880.50x = 212,986.50 × 212,986.50
  4. Step 4: Simplify right side
    144,880.50x = 45,363,249,182.25
  5. Step 5: Solve for x
    x = 45,363,249,182.25/144,880.50
  6. Step 6: Final answer
    x = 313,108.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.