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Finding the Third Proportional to 222,516 and 344,332

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Solution

The third proportional to 222,516 and 344,332 is: 532,835.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,516 : 344,332 = 344,332 : x
  2. Step 2: Convert to fraction form
    222,516/344,332 = 344,332/x
  3. Step 3: Cross multiply
    222,516x = 344,332 × 344,332
  4. Step 4: Simplify right side
    222,516x = 118,564,526,224
  5. Step 5: Solve for x
    x = 118,564,526,224/222,516
  6. Step 6: Final answer
    x = 532,835.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.