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Finding the Third Proportional to 175,202 and 384,316

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Solution

The third proportional to 175,202 and 384,316 is: 843,019.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,202 : 384,316 = 384,316 : x
  2. Step 2: Convert to fraction form
    175,202/384,316 = 384,316/x
  3. Step 3: Cross multiply
    175,202x = 384,316 × 384,316
  4. Step 4: Simplify right side
    175,202x = 147,698,787,856
  5. Step 5: Solve for x
    x = 147,698,787,856/175,202
  6. Step 6: Final answer
    x = 843,019.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.