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Finding the Third Proportional to 147,804 and 306,114

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Solution

The third proportional to 147,804 and 306,114 is: 633,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,804 : 306,114 = 306,114 : x
  2. Step 2: Convert to fraction form
    147,804/306,114 = 306,114/x
  3. Step 3: Cross multiply
    147,804x = 306,114 × 306,114
  4. Step 4: Simplify right side
    147,804x = 93,705,780,996
  5. Step 5: Solve for x
    x = 93,705,780,996/147,804
  6. Step 6: Final answer
    x = 633,986.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.