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Finding the Third Proportional to 240,375 and 373,672.50

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Solution

The third proportional to 240,375 and 373,672.50 is: 580,888.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,375 : 373,672.50 = 373,672.50 : x
  2. Step 2: Convert to fraction form
    240,375/373,672.50 = 373,672.50/x
  3. Step 3: Cross multiply
    240,375x = 373,672.50 × 373,672.50
  4. Step 4: Simplify right side
    240,375x = 139,631,137,256.25
  5. Step 5: Solve for x
    x = 139,631,137,256.25/240,375
  6. Step 6: Final answer
    x = 580,888.77

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