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Finding the Third Proportional to 210,754.50 and 316,137

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Solution

The third proportional to 210,754.50 and 316,137 is: 474,213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,754.50 : 316,137 = 316,137 : x
  2. Step 2: Convert to fraction form
    210,754.50/316,137 = 316,137/x
  3. Step 3: Cross multiply
    210,754.50x = 316,137 × 316,137
  4. Step 4: Simplify right side
    210,754.50x = 99,942,602,769
  5. Step 5: Solve for x
    x = 99,942,602,769/210,754.50
  6. Step 6: Final answer
    x = 474,213.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.