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Finding the Third Proportional to 162,075 and 245,344.50

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Solution

The third proportional to 162,075 and 245,344.50 is: 371,395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,075 : 245,344.50 = 245,344.50 : x
  2. Step 2: Convert to fraction form
    162,075/245,344.50 = 245,344.50/x
  3. Step 3: Cross multiply
    162,075x = 245,344.50 × 245,344.50
  4. Step 4: Simplify right side
    162,075x = 60,193,923,680.25
  5. Step 5: Solve for x
    x = 60,193,923,680.25/162,075
  6. Step 6: Final answer
    x = 371,395.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.