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Finding the Third Proportional to 254,071.69 and 374,090.06

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Solution

The third proportional to 254,071.69 and 374,090.06 is: 550,802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,071.69 : 374,090.06 = 374,090.06 : x
  2. Step 2: Convert to fraction form
    254,071.69/374,090.06 = 374,090.06/x
  3. Step 3: Cross multiply
    254,071.69x = 374,090.06 × 374,090.06
  4. Step 4: Simplify right side
    254,071.69x = 139,943,374,861.25
  5. Step 5: Solve for x
    x = 139,943,374,861.25/254,071.69
  6. Step 6: Final answer
    x = 550,802.71

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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.