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Finding the Third Proportional to 160,314 and 250,176

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Solution

The third proportional to 160,314 and 250,176 is: 390,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,314 : 250,176 = 250,176 : x
  2. Step 2: Convert to fraction form
    160,314/250,176 = 250,176/x
  3. Step 3: Cross multiply
    160,314x = 250,176 × 250,176
  4. Step 4: Simplify right side
    160,314x = 62,588,030,976
  5. Step 5: Solve for x
    x = 62,588,030,976/160,314
  6. Step 6: Final answer
    x = 390,409.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.