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Finding the Third Proportional to 160,730 and 350,025

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Solution

The third proportional to 160,730 and 350,025 is: 762,256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,730 : 350,025 = 350,025 : x
  2. Step 2: Convert to fraction form
    160,730/350,025 = 350,025/x
  3. Step 3: Cross multiply
    160,730x = 350,025 × 350,025
  4. Step 4: Simplify right side
    160,730x = 122,517,500,625
  5. Step 5: Solve for x
    x = 122,517,500,625/160,730
  6. Step 6: Final answer
    x = 762,256.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.