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Finding the Third Proportional to 212,904 and 354,822

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Solution

The third proportional to 212,904 and 354,822 is: 591,340.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,904 : 354,822 = 354,822 : x
  2. Step 2: Convert to fraction form
    212,904/354,822 = 354,822/x
  3. Step 3: Cross multiply
    212,904x = 354,822 × 354,822
  4. Step 4: Simplify right side
    212,904x = 125,898,651,684
  5. Step 5: Solve for x
    x = 125,898,651,684/212,904
  6. Step 6: Final answer
    x = 591,340.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.