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Finding the Third Proportional to 228,225 and 358,003

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Solution

The third proportional to 228,225 and 358,003 is: 561,578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,225 : 358,003 = 358,003 : x
  2. Step 2: Convert to fraction form
    228,225/358,003 = 358,003/x
  3. Step 3: Cross multiply
    228,225x = 358,003 × 358,003
  4. Step 4: Simplify right side
    228,225x = 128,166,148,009
  5. Step 5: Solve for x
    x = 128,166,148,009/228,225
  6. Step 6: Final answer
    x = 561,578.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.