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Finding the Third Proportional to 210,236 and 317,541

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Solution

The third proportional to 210,236 and 317,541 is: 479,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,236 : 317,541 = 317,541 : x
  2. Step 2: Convert to fraction form
    210,236/317,541 = 317,541/x
  3. Step 3: Cross multiply
    210,236x = 317,541 × 317,541
  4. Step 4: Simplify right side
    210,236x = 100,832,286,681
  5. Step 5: Solve for x
    x = 100,832,286,681/210,236
  6. Step 6: Final answer
    x = 479,614.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.