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Finding the Third Proportional to 175,075.88 and 384,045.75

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Solution

The third proportional to 175,075.88 and 384,045.75 is: 842,441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,075.88 : 384,045.75 = 384,045.75 : x
  2. Step 2: Convert to fraction form
    175,075.88/384,045.75 = 384,045.75/x
  3. Step 3: Cross multiply
    175,075.88x = 384,045.75 × 384,045.75
  4. Step 4: Simplify right side
    175,075.88x = 147,491,138,093.06
  5. Step 5: Solve for x
    x = 147,491,138,093.06/175,075.88
  6. Step 6: Final answer
    x = 842,441.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.