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Finding the Third Proportional to 174,756.38 and 378,075.38

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Solution

The third proportional to 174,756.38 and 378,075.38 is: 817,944.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,756.38 : 378,075.38 = 378,075.38 : x
  2. Step 2: Convert to fraction form
    174,756.38/378,075.38 = 378,075.38/x
  3. Step 3: Cross multiply
    174,756.38x = 378,075.38 × 378,075.38
  4. Step 4: Simplify right side
    174,756.38x = 142,940,989,181.39
  5. Step 5: Solve for x
    x = 142,940,989,181.39/174,756.38
  6. Step 6: Final answer
    x = 817,944.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.