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Finding the Third Proportional to 147,604.50 and 305,712

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Solution

The third proportional to 147,604.50 and 305,712 is: 633,177.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,604.50 : 305,712 = 305,712 : x
  2. Step 2: Convert to fraction form
    147,604.50/305,712 = 305,712/x
  3. Step 3: Cross multiply
    147,604.50x = 305,712 × 305,712
  4. Step 4: Simplify right side
    147,604.50x = 93,459,826,944
  5. Step 5: Solve for x
    x = 93,459,826,944/147,604.50
  6. Step 6: Final answer
    x = 633,177.36

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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.