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Finding the Third Proportional to 143,292 and 311,458.50

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Solution

The third proportional to 143,292 and 311,458.50 is: 676,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,292 : 311,458.50 = 311,458.50 : x
  2. Step 2: Convert to fraction form
    143,292/311,458.50 = 311,458.50/x
  3. Step 3: Cross multiply
    143,292x = 311,458.50 × 311,458.50
  4. Step 4: Simplify right side
    143,292x = 97,006,397,222.25
  5. Step 5: Solve for x
    x = 97,006,397,222.25/143,292
  6. Step 6: Final answer
    x = 676,984.04

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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.