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Finding the Third Proportional to 147,954.50 and 209,352.25

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Solution

The third proportional to 147,954.50 and 209,352.25 is: 296,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,954.50 : 209,352.25 = 209,352.25 : x
  2. Step 2: Convert to fraction form
    147,954.50/209,352.25 = 209,352.25/x
  3. Step 3: Cross multiply
    147,954.50x = 209,352.25 × 209,352.25
  4. Step 4: Simplify right side
    147,954.50x = 43,828,364,580.06
  5. Step 5: Solve for x
    x = 43,828,364,580.06/147,954.50
  6. Step 6: Final answer
    x = 296,228.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.