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Finding the Third Proportional to 242,250 and 375,093

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Solution

The third proportional to 242,250 and 375,093 is: 580,783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,250 : 375,093 = 375,093 : x
  2. Step 2: Convert to fraction form
    242,250/375,093 = 375,093/x
  3. Step 3: Cross multiply
    242,250x = 375,093 × 375,093
  4. Step 4: Simplify right side
    242,250x = 140,694,758,649
  5. Step 5: Solve for x
    x = 140,694,758,649/242,250
  6. Step 6: Final answer
    x = 580,783.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.