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Finding the Third Proportional to 145,162 and 228,111

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Solution

The third proportional to 145,162 and 228,111 is: 358,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,162 : 228,111 = 228,111 : x
  2. Step 2: Convert to fraction form
    145,162/228,111 = 228,111/x
  3. Step 3: Cross multiply
    145,162x = 228,111 × 228,111
  4. Step 4: Simplify right side
    145,162x = 52,034,628,321
  5. Step 5: Solve for x
    x = 52,034,628,321/145,162
  6. Step 6: Final answer
    x = 358,459.02

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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.