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Finding the Third Proportional to 228,152 and 470,758

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Solution

The third proportional to 228,152 and 470,758 is: 971,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,152 : 470,758 = 470,758 : x
  2. Step 2: Convert to fraction form
    228,152/470,758 = 470,758/x
  3. Step 3: Cross multiply
    228,152x = 470,758 × 470,758
  4. Step 4: Simplify right side
    228,152x = 221,613,094,564
  5. Step 5: Solve for x
    x = 221,613,094,564/228,152
  6. Step 6: Final answer
    x = 971,339.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.