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Finding the Third Proportional to 228,054 and 357,747

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Solution

The third proportional to 228,054 and 357,747 is: 561,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,054 : 357,747 = 357,747 : x
  2. Step 2: Convert to fraction form
    228,054/357,747 = 357,747/x
  3. Step 3: Cross multiply
    228,054x = 357,747 × 357,747
  4. Step 4: Simplify right side
    228,054x = 127,982,916,009
  5. Step 5: Solve for x
    x = 127,982,916,009/228,054
  6. Step 6: Final answer
    x = 561,195.66

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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.