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Finding the Third Proportional to 107,697 and 228,354

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Solution

The third proportional to 107,697 and 228,354 is: 484,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,697 : 228,354 = 228,354 : x
  2. Step 2: Convert to fraction form
    107,697/228,354 = 228,354/x
  3. Step 3: Cross multiply
    107,697x = 228,354 × 228,354
  4. Step 4: Simplify right side
    107,697x = 52,145,549,316
  5. Step 5: Solve for x
    x = 52,145,549,316/107,697
  6. Step 6: Final answer
    x = 484,187.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.