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Finding the Third Proportional to 145,406.63 and 304,056.75

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Solution

The third proportional to 145,406.63 and 304,056.75 is: 635,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,406.63 : 304,056.75 = 304,056.75 : x
  2. Step 2: Convert to fraction form
    145,406.63/304,056.75 = 304,056.75/x
  3. Step 3: Cross multiply
    145,406.63x = 304,056.75 × 304,056.75
  4. Step 4: Simplify right side
    145,406.63x = 92,450,507,220.56
  5. Step 5: Solve for x
    x = 92,450,507,220.56/145,406.63
  6. Step 6: Final answer
    x = 635,806.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.