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Finding the Third Proportional to 193,882 and 418,316

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Solution

The third proportional to 193,882 and 418,316 is: 902,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,882 : 418,316 = 418,316 : x
  2. Step 2: Convert to fraction form
    193,882/418,316 = 418,316/x
  3. Step 3: Cross multiply
    193,882x = 418,316 × 418,316
  4. Step 4: Simplify right side
    193,882x = 174,988,275,856
  5. Step 5: Solve for x
    x = 174,988,275,856/193,882
  6. Step 6: Final answer
    x = 902,550.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.