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Finding the Third Proportional to 73,341 and 160,707

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Solution

The third proportional to 73,341 and 160,707 is: 352,146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,341 : 160,707 = 160,707 : x
  2. Step 2: Convert to fraction form
    73,341/160,707 = 160,707/x
  3. Step 3: Cross multiply
    73,341x = 160,707 × 160,707
  4. Step 4: Simplify right side
    73,341x = 25,826,739,849
  5. Step 5: Solve for x
    x = 25,826,739,849/73,341
  6. Step 6: Final answer
    x = 352,146.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.