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Finding the Third Proportional to 132,971.63 and 284,628.94

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Solution

The third proportional to 132,971.63 and 284,628.94 is: 609,255.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,971.63 : 284,628.94 = 284,628.94 : x
  2. Step 2: Convert to fraction form
    132,971.63/284,628.94 = 284,628.94/x
  3. Step 3: Cross multiply
    132,971.63x = 284,628.94 × 284,628.94
  4. Step 4: Simplify right side
    132,971.63x = 81,013,632,062.38
  5. Step 5: Solve for x
    x = 81,013,632,062.38/132,971.63
  6. Step 6: Final answer
    x = 609,255.04

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.