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Finding the Third Proportional to 155,840 and 233,696

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Solution

The third proportional to 155,840 and 233,696 is: 350,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,840 : 233,696 = 233,696 : x
  2. Step 2: Convert to fraction form
    155,840/233,696 = 233,696/x
  3. Step 3: Cross multiply
    155,840x = 233,696 × 233,696
  4. Step 4: Simplify right side
    155,840x = 54,613,820,416
  5. Step 5: Solve for x
    x = 54,613,820,416/155,840
  6. Step 6: Final answer
    x = 350,448.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.