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Finding the Third Proportional to 175,075.88 and 278,709.75

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Solution

The third proportional to 175,075.88 and 278,709.75 is: 443,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,075.88 : 278,709.75 = 278,709.75 : x
  2. Step 2: Convert to fraction form
    175,075.88/278,709.75 = 278,709.75/x
  3. Step 3: Cross multiply
    175,075.88x = 278,709.75 × 278,709.75
  4. Step 4: Simplify right side
    175,075.88x = 77,679,124,745.06
  5. Step 5: Solve for x
    x = 77,679,124,745.06/175,075.88
  6. Step 6: Final answer
    x = 443,688.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.