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Finding the Third Proportional to 221,512 and 334,572

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Solution

The third proportional to 221,512 and 334,572 is: 505,337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,512 : 334,572 = 334,572 : x
  2. Step 2: Convert to fraction form
    221,512/334,572 = 334,572/x
  3. Step 3: Cross multiply
    221,512x = 334,572 × 334,572
  4. Step 4: Simplify right side
    221,512x = 111,938,423,184
  5. Step 5: Solve for x
    x = 111,938,423,184/221,512
  6. Step 6: Final answer
    x = 505,337.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.