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Finding the Third Proportional to 132,628 and 284,888

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Solution

The third proportional to 132,628 and 284,888 is: 611,945.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,628 : 284,888 = 284,888 : x
  2. Step 2: Convert to fraction form
    132,628/284,888 = 284,888/x
  3. Step 3: Cross multiply
    132,628x = 284,888 × 284,888
  4. Step 4: Simplify right side
    132,628x = 81,161,172,544
  5. Step 5: Solve for x
    x = 81,161,172,544/132,628
  6. Step 6: Final answer
    x = 611,945.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.