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Finding the Third Proportional to 157,924.69 and 345,373.88

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Solution

The third proportional to 157,924.69 and 345,373.88 is: 755,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,924.69 : 345,373.88 = 345,373.88 : x
  2. Step 2: Convert to fraction form
    157,924.69/345,373.88 = 345,373.88/x
  3. Step 3: Cross multiply
    157,924.69x = 345,373.88 × 345,373.88
  4. Step 4: Simplify right side
    157,924.69x = 119,283,113,532.52
  5. Step 5: Solve for x
    x = 119,283,113,532.52/157,924.69
  6. Step 6: Final answer
    x = 755,316.44

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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.