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Finding the Third Proportional to 153,177 and 228,843

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Solution

The third proportional to 153,177 and 228,843 is: 341,886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,177 : 228,843 = 228,843 : x
  2. Step 2: Convert to fraction form
    153,177/228,843 = 228,843/x
  3. Step 3: Cross multiply
    153,177x = 228,843 × 228,843
  4. Step 4: Simplify right side
    153,177x = 52,369,118,649
  5. Step 5: Solve for x
    x = 52,369,118,649/153,177
  6. Step 6: Final answer
    x = 341,886.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.