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Finding the Third Proportional to 148,911 and 321,148.50

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Solution

The third proportional to 148,911 and 321,148.50 is: 692,604.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,911 : 321,148.50 = 321,148.50 : x
  2. Step 2: Convert to fraction form
    148,911/321,148.50 = 321,148.50/x
  3. Step 3: Cross multiply
    148,911x = 321,148.50 × 321,148.50
  4. Step 4: Simplify right side
    148,911x = 103,136,359,052.25
  5. Step 5: Solve for x
    x = 103,136,359,052.25/148,911
  6. Step 6: Final answer
    x = 692,604.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.