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Finding the Third Proportional to 160,300 and 250,155

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Solution

The third proportional to 160,300 and 250,155 is: 390,377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,300 : 250,155 = 250,155 : x
  2. Step 2: Convert to fraction form
    160,300/250,155 = 250,155/x
  3. Step 3: Cross multiply
    160,300x = 250,155 × 250,155
  4. Step 4: Simplify right side
    160,300x = 62,577,524,025
  5. Step 5: Solve for x
    x = 62,577,524,025/160,300
  6. Step 6: Final answer
    x = 390,377.57

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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.