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Finding the Third Proportional to 145,675 and 228,900

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Solution

The third proportional to 145,675 and 228,900 is: 359,671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,675 : 228,900 = 228,900 : x
  2. Step 2: Convert to fraction form
    145,675/228,900 = 228,900/x
  3. Step 3: Cross multiply
    145,675x = 228,900 × 228,900
  4. Step 4: Simplify right side
    145,675x = 52,395,210,000
  5. Step 5: Solve for x
    x = 52,395,210,000/145,675
  6. Step 6: Final answer
    x = 359,671.94

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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.