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Finding the Third Proportional to 240,664.50 and 374,307.75

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Solution

The third proportional to 240,664.50 and 374,307.75 is: 582,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,664.50 : 374,307.75 = 374,307.75 : x
  2. Step 2: Convert to fraction form
    240,664.50/374,307.75 = 374,307.75/x
  3. Step 3: Cross multiply
    240,664.50x = 374,307.75 × 374,307.75
  4. Step 4: Simplify right side
    240,664.50x = 140,106,291,710.06
  5. Step 5: Solve for x
    x = 140,106,291,710.06/240,664.50
  6. Step 6: Final answer
    x = 582,164.35

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.