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Finding the Third Proportional to 228,223.50 and 463,359

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Solution

The third proportional to 228,223.50 and 463,359 is: 940,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,223.50 : 463,359 = 463,359 : x
  2. Step 2: Convert to fraction form
    228,223.50/463,359 = 463,359/x
  3. Step 3: Cross multiply
    228,223.50x = 463,359 × 463,359
  4. Step 4: Simplify right side
    228,223.50x = 214,701,562,881
  5. Step 5: Solve for x
    x = 214,701,562,881/228,223.50
  6. Step 6: Final answer
    x = 940,751.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.