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Finding the Third Proportional to 155,780 and 233,407

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Solution

The third proportional to 155,780 and 233,407 is: 349,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,780 : 233,407 = 233,407 : x
  2. Step 2: Convert to fraction form
    155,780/233,407 = 233,407/x
  3. Step 3: Cross multiply
    155,780x = 233,407 × 233,407
  4. Step 4: Simplify right side
    155,780x = 54,478,827,649
  5. Step 5: Solve for x
    x = 54,478,827,649/155,780
  6. Step 6: Final answer
    x = 349,716.44

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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.