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Finding the Third Proportional to 148,075 and 211,036.50

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Solution

The third proportional to 148,075 and 211,036.50 is: 300,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,075 : 211,036.50 = 211,036.50 : x
  2. Step 2: Convert to fraction form
    148,075/211,036.50 = 211,036.50/x
  3. Step 3: Cross multiply
    148,075x = 211,036.50 × 211,036.50
  4. Step 4: Simplify right side
    148,075x = 44,536,404,332.25
  5. Step 5: Solve for x
    x = 44,536,404,332.25/148,075
  6. Step 6: Final answer
    x = 300,769.23

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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.