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Finding the Third Proportional to 160,284 and 342,804

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Solution

The third proportional to 160,284 and 342,804 is: 733,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,284 : 342,804 = 342,804 : x
  2. Step 2: Convert to fraction form
    160,284/342,804 = 342,804/x
  3. Step 3: Cross multiply
    160,284x = 342,804 × 342,804
  4. Step 4: Simplify right side
    160,284x = 117,514,582,416
  5. Step 5: Solve for x
    x = 117,514,582,416/160,284
  6. Step 6: Final answer
    x = 733,164.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.