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Finding the Third Proportional to 225,075 and 356,404.50

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Solution

The third proportional to 225,075 and 356,404.50 is: 564,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,075 : 356,404.50 = 356,404.50 : x
  2. Step 2: Convert to fraction form
    225,075/356,404.50 = 356,404.50/x
  3. Step 3: Cross multiply
    225,075x = 356,404.50 × 356,404.50
  4. Step 4: Simplify right side
    225,075x = 127,024,167,620.25
  5. Step 5: Solve for x
    x = 127,024,167,620.25/225,075
  6. Step 6: Final answer
    x = 564,363.73

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.