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Finding the Third Proportional to 150,484 and 355,216

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Solution

The third proportional to 150,484 and 355,216 is: 838,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,484 : 355,216 = 355,216 : x
  2. Step 2: Convert to fraction form
    150,484/355,216 = 355,216/x
  3. Step 3: Cross multiply
    150,484x = 355,216 × 355,216
  4. Step 4: Simplify right side
    150,484x = 126,178,406,656
  5. Step 5: Solve for x
    x = 126,178,406,656/150,484
  6. Step 6: Final answer
    x = 838,483.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.