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Finding the Third Proportional to 228,218 and 357,994

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Solution

The third proportional to 228,218 and 357,994 is: 561,567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,218 : 357,994 = 357,994 : x
  2. Step 2: Convert to fraction form
    228,218/357,994 = 357,994/x
  3. Step 3: Cross multiply
    228,218x = 357,994 × 357,994
  4. Step 4: Simplify right side
    228,218x = 128,159,704,036
  5. Step 5: Solve for x
    x = 128,159,704,036/228,218
  6. Step 6: Final answer
    x = 561,567.03

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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.