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Finding the Third Proportional to 178,154.50 and 371,050.75

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Solution

The third proportional to 178,154.50 and 371,050.75 is: 772,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,154.50 : 371,050.75 = 371,050.75 : x
  2. Step 2: Convert to fraction form
    178,154.50/371,050.75 = 371,050.75/x
  3. Step 3: Cross multiply
    178,154.50x = 371,050.75 × 371,050.75
  4. Step 4: Simplify right side
    178,154.50x = 137,678,659,075.56
  5. Step 5: Solve for x
    x = 137,678,659,075.56/178,154.50
  6. Step 6: Final answer
    x = 772,804.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.