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Finding the Third Proportional to 212,004 and 286,902

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Solution

The third proportional to 212,004 and 286,902 is: 388,260.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,004 : 286,902 = 286,902 : x
  2. Step 2: Convert to fraction form
    212,004/286,902 = 286,902/x
  3. Step 3: Cross multiply
    212,004x = 286,902 × 286,902
  4. Step 4: Simplify right side
    212,004x = 82,312,757,604
  5. Step 5: Solve for x
    x = 82,312,757,604/212,004
  6. Step 6: Final answer
    x = 388,260.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.