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Finding the Third Proportional to 142,021 and 306,185

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Solution

The third proportional to 142,021 and 306,185 is: 660,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,021 : 306,185 = 306,185 : x
  2. Step 2: Convert to fraction form
    142,021/306,185 = 306,185/x
  3. Step 3: Cross multiply
    142,021x = 306,185 × 306,185
  4. Step 4: Simplify right side
    142,021x = 93,749,254,225
  5. Step 5: Solve for x
    x = 93,749,254,225/142,021
  6. Step 6: Final answer
    x = 660,108.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.