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Finding the Third Proportional to 132,048.56 and 284,630.63

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Solution

The third proportional to 132,048.56 and 284,630.63 is: 613,521.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,048.56 : 284,630.63 = 284,630.63 : x
  2. Step 2: Convert to fraction form
    132,048.56/284,630.63 = 284,630.63/x
  3. Step 3: Cross multiply
    132,048.56x = 284,630.63 × 284,630.63
  4. Step 4: Simplify right side
    132,048.56x = 81,014,592,687.89
  5. Step 5: Solve for x
    x = 81,014,592,687.89/132,048.56
  6. Step 6: Final answer
    x = 613,521.20

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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.