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Finding the Third Proportional to 155,790.84 and 233,416.69

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Solution

The third proportional to 155,790.84 and 233,416.69 is: 349,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,790.84 : 233,416.69 = 233,416.69 : x
  2. Step 2: Convert to fraction form
    155,790.84/233,416.69 = 233,416.69/x
  3. Step 3: Cross multiply
    155,790.84x = 233,416.69 × 233,416.69
  4. Step 4: Simplify right side
    155,790.84x = 54,483,350,003.47
  5. Step 5: Solve for x
    x = 54,483,350,003.47/155,790.84
  6. Step 6: Final answer
    x = 349,721.13

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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.