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Finding the Third Proportional to 145,811 and 228,437

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Solution

The third proportional to 145,811 and 228,437 is: 357,884.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,811 : 228,437 = 228,437 : x
  2. Step 2: Convert to fraction form
    145,811/228,437 = 228,437/x
  3. Step 3: Cross multiply
    145,811x = 228,437 × 228,437
  4. Step 4: Simplify right side
    145,811x = 52,183,462,969
  5. Step 5: Solve for x
    x = 52,183,462,969/145,811
  6. Step 6: Final answer
    x = 357,884.27

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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.