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Finding the Third Proportional to 210,772 and 321,510

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Solution

The third proportional to 210,772 and 321,510 is: 490,428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,772 : 321,510 = 321,510 : x
  2. Step 2: Convert to fraction form
    210,772/321,510 = 321,510/x
  3. Step 3: Cross multiply
    210,772x = 321,510 × 321,510
  4. Step 4: Simplify right side
    210,772x = 103,368,680,100
  5. Step 5: Solve for x
    x = 103,368,680,100/210,772
  6. Step 6: Final answer
    x = 490,428.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.