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Finding the Third Proportional to 148,511.25 and 212,818.50

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Solution

The third proportional to 148,511.25 and 212,818.50 is: 304,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,511.25 : 212,818.50 = 212,818.50 : x
  2. Step 2: Convert to fraction form
    148,511.25/212,818.50 = 212,818.50/x
  3. Step 3: Cross multiply
    148,511.25x = 212,818.50 × 212,818.50
  4. Step 4: Simplify right side
    148,511.25x = 45,291,713,942.25
  5. Step 5: Solve for x
    x = 45,291,713,942.25/148,511.25
  6. Step 6: Final answer
    x = 304,971.60

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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.