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Finding the Third Proportional to 142,992 and 304,984.50

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Solution

The third proportional to 142,992 and 304,984.50 is: 650,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,992 : 304,984.50 = 304,984.50 : x
  2. Step 2: Convert to fraction form
    142,992/304,984.50 = 304,984.50/x
  3. Step 3: Cross multiply
    142,992x = 304,984.50 × 304,984.50
  4. Step 4: Simplify right side
    142,992x = 93,015,545,240.25
  5. Step 5: Solve for x
    x = 93,015,545,240.25/142,992
  6. Step 6: Final answer
    x = 650,494.75

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.