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Finding the Third Proportional to 242,272.69 and 355,915.69

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Solution

The third proportional to 242,272.69 and 355,915.69 is: 522,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,272.69 : 355,915.69 = 355,915.69 : x
  2. Step 2: Convert to fraction form
    242,272.69/355,915.69 = 355,915.69/x
  3. Step 3: Cross multiply
    242,272.69x = 355,915.69 × 355,915.69
  4. Step 4: Simplify right side
    242,272.69x = 126,675,976,608.60
  5. Step 5: Solve for x
    x = 126,675,976,608.60/242,272.69
  6. Step 6: Final answer
    x = 522,865.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.