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Finding the Third Proportional to 151,448 and 235,176

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Solution

The third proportional to 151,448 and 235,176 is: 365,193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,448 : 235,176 = 235,176 : x
  2. Step 2: Convert to fraction form
    151,448/235,176 = 235,176/x
  3. Step 3: Cross multiply
    151,448x = 235,176 × 235,176
  4. Step 4: Simplify right side
    151,448x = 55,307,750,976
  5. Step 5: Solve for x
    x = 55,307,750,976/151,448
  6. Step 6: Final answer
    x = 365,193.01

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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.