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Finding the Third Proportional to 160,038 and 233,478

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Solution

The third proportional to 160,038 and 233,478 is: 340,618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,038 : 233,478 = 233,478 : x
  2. Step 2: Convert to fraction form
    160,038/233,478 = 233,478/x
  3. Step 3: Cross multiply
    160,038x = 233,478 × 233,478
  4. Step 4: Simplify right side
    160,038x = 54,511,976,484
  5. Step 5: Solve for x
    x = 54,511,976,484/160,038
  6. Step 6: Final answer
    x = 340,618.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.