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Finding the Third Proportional to 134,148 and 284,288

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Solution

The third proportional to 134,148 and 284,288 is: 602,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,148 : 284,288 = 284,288 : x
  2. Step 2: Convert to fraction form
    134,148/284,288 = 284,288/x
  3. Step 3: Cross multiply
    134,148x = 284,288 × 284,288
  4. Step 4: Simplify right side
    134,148x = 80,819,666,944
  5. Step 5: Solve for x
    x = 80,819,666,944/134,148
  6. Step 6: Final answer
    x = 602,466.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.