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Finding the Third Proportional to 173,574 and 360,970

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Solution

The third proportional to 173,574 and 360,970 is: 750,684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,574 : 360,970 = 360,970 : x
  2. Step 2: Convert to fraction form
    173,574/360,970 = 360,970/x
  3. Step 3: Cross multiply
    173,574x = 360,970 × 360,970
  4. Step 4: Simplify right side
    173,574x = 130,299,340,900
  5. Step 5: Solve for x
    x = 130,299,340,900/173,574
  6. Step 6: Final answer
    x = 750,684.67

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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.