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Finding the Third Proportional to 174,312 and 235,229

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Solution

The third proportional to 174,312 and 235,229 is: 317,434.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,312 : 235,229 = 235,229 : x
  2. Step 2: Convert to fraction form
    174,312/235,229 = 235,229/x
  3. Step 3: Cross multiply
    174,312x = 235,229 × 235,229
  4. Step 4: Simplify right side
    174,312x = 55,332,682,441
  5. Step 5: Solve for x
    x = 55,332,682,441/174,312
  6. Step 6: Final answer
    x = 317,434.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.