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Finding the Third Proportional to 235,224 and 355,023

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Solution

The third proportional to 235,224 and 355,023 is: 535,835.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,224 : 355,023 = 355,023 : x
  2. Step 2: Convert to fraction form
    235,224/355,023 = 355,023/x
  3. Step 3: Cross multiply
    235,224x = 355,023 × 355,023
  4. Step 4: Simplify right side
    235,224x = 126,041,330,529
  5. Step 5: Solve for x
    x = 126,041,330,529/235,224
  6. Step 6: Final answer
    x = 535,835.33

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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.