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Finding the Third Proportional to 222,174 and 470,830.50

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Solution

The third proportional to 222,174 and 470,830.50 is: 997,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,174 : 470,830.50 = 470,830.50 : x
  2. Step 2: Convert to fraction form
    222,174/470,830.50 = 470,830.50/x
  3. Step 3: Cross multiply
    222,174x = 470,830.50 × 470,830.50
  4. Step 4: Simplify right side
    222,174x = 221,681,359,730.25
  5. Step 5: Solve for x
    x = 221,681,359,730.25/222,174
  6. Step 6: Final answer
    x = 997,782.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.