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Finding the Third Proportional to 145,837 and 228,477

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Solution

The third proportional to 145,837 and 228,477 is: 357,945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,837 : 228,477 = 228,477 : x
  2. Step 2: Convert to fraction form
    145,837/228,477 = 228,477/x
  3. Step 3: Cross multiply
    145,837x = 228,477 × 228,477
  4. Step 4: Simplify right side
    145,837x = 52,201,739,529
  5. Step 5: Solve for x
    x = 52,201,739,529/145,837
  6. Step 6: Final answer
    x = 357,945.79

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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.