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Finding the Third Proportional to 178,140 and 370,974

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Solution

The third proportional to 178,140 and 370,974 is: 772,548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,140 : 370,974 = 370,974 : x
  2. Step 2: Convert to fraction form
    178,140/370,974 = 370,974/x
  3. Step 3: Cross multiply
    178,140x = 370,974 × 370,974
  4. Step 4: Simplify right side
    178,140x = 137,621,708,676
  5. Step 5: Solve for x
    x = 137,621,708,676/178,140
  6. Step 6: Final answer
    x = 772,548.04

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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.