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Finding the Third Proportional to 145,824 and 228,456

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Solution

The third proportional to 145,824 and 228,456 is: 357,911.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,824 : 228,456 = 228,456 : x
  2. Step 2: Convert to fraction form
    145,824/228,456 = 228,456/x
  3. Step 3: Cross multiply
    145,824x = 228,456 × 228,456
  4. Step 4: Simplify right side
    145,824x = 52,192,143,936
  5. Step 5: Solve for x
    x = 52,192,143,936/145,824
  6. Step 6: Final answer
    x = 357,911.89

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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.