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Finding the Third Proportional to 225,728.50 and 470,140

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Solution

The third proportional to 225,728.50 and 470,140 is: 979,192.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,728.50 : 470,140 = 470,140 : x
  2. Step 2: Convert to fraction form
    225,728.50/470,140 = 470,140/x
  3. Step 3: Cross multiply
    225,728.50x = 470,140 × 470,140
  4. Step 4: Simplify right side
    225,728.50x = 221,031,619,600
  5. Step 5: Solve for x
    x = 221,031,619,600/225,728.50
  6. Step 6: Final answer
    x = 979,192.35

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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.