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Finding the Third Proportional to 148,975.88 and 212,814

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Solution

The third proportional to 148,975.88 and 212,814 is: 304,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,975.88 : 212,814 = 212,814 : x
  2. Step 2: Convert to fraction form
    148,975.88/212,814 = 212,814/x
  3. Step 3: Cross multiply
    148,975.88x = 212,814 × 212,814
  4. Step 4: Simplify right side
    148,975.88x = 45,289,798,596
  5. Step 5: Solve for x
    x = 45,289,798,596/148,975.88
  6. Step 6: Final answer
    x = 304,007.60

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.