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Finding the Third Proportional to 210,139.50 and 466,935

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Solution

The third proportional to 210,139.50 and 466,935 is: 1,037,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,139.50 : 466,935 = 466,935 : x
  2. Step 2: Convert to fraction form
    210,139.50/466,935 = 466,935/x
  3. Step 3: Cross multiply
    210,139.50x = 466,935 × 466,935
  4. Step 4: Simplify right side
    210,139.50x = 218,028,294,225
  5. Step 5: Solve for x
    x = 218,028,294,225/210,139.50
  6. Step 6: Final answer
    x = 1,037,540.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.