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Finding the Third Proportional to 268,224 and 402,340

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Solution

The third proportional to 268,224 and 402,340 is: 603,516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,224 : 402,340 = 402,340 : x
  2. Step 2: Convert to fraction form
    268,224/402,340 = 402,340/x
  3. Step 3: Cross multiply
    268,224x = 402,340 × 402,340
  4. Step 4: Simplify right side
    268,224x = 161,877,475,600
  5. Step 5: Solve for x
    x = 161,877,475,600/268,224
  6. Step 6: Final answer
    x = 603,516.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.