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Finding the Third Proportional to 161,835 and 359,040

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Solution

The third proportional to 161,835 and 359,040 is: 796,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,835 : 359,040 = 359,040 : x
  2. Step 2: Convert to fraction form
    161,835/359,040 = 359,040/x
  3. Step 3: Cross multiply
    161,835x = 359,040 × 359,040
  4. Step 4: Simplify right side
    161,835x = 128,909,721,600
  5. Step 5: Solve for x
    x = 128,909,721,600/161,835
  6. Step 6: Final answer
    x = 796,550.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.