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Finding the Third Proportional to 145,154 and 228,099

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Solution

The third proportional to 145,154 and 228,099 is: 358,441.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,154 : 228,099 = 228,099 : x
  2. Step 2: Convert to fraction form
    145,154/228,099 = 228,099/x
  3. Step 3: Cross multiply
    145,154x = 228,099 × 228,099
  4. Step 4: Simplify right side
    145,154x = 52,029,153,801
  5. Step 5: Solve for x
    x = 52,029,153,801/145,154
  6. Step 6: Final answer
    x = 358,441.06

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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.