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Finding the Third Proportional to 193,094.25 and 420,515.25

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Solution

The third proportional to 193,094.25 and 420,515.25 is: 915,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,094.25 : 420,515.25 = 420,515.25 : x
  2. Step 2: Convert to fraction form
    193,094.25/420,515.25 = 420,515.25/x
  3. Step 3: Cross multiply
    193,094.25x = 420,515.25 × 420,515.25
  4. Step 4: Simplify right side
    193,094.25x = 176,833,075,482.56
  5. Step 5: Solve for x
    x = 176,833,075,482.56/193,094.25
  6. Step 6: Final answer
    x = 915,786.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.