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Finding the Third Proportional to 174,962.53 and 374,802.19

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Solution

The third proportional to 174,962.53 and 374,802.19 is: 802,895.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,962.53 : 374,802.19 = 374,802.19 : x
  2. Step 2: Convert to fraction form
    174,962.53/374,802.19 = 374,802.19/x
  3. Step 3: Cross multiply
    174,962.53x = 374,802.19 × 374,802.19
  4. Step 4: Simplify right side
    174,962.53x = 140,476,679,754.79
  5. Step 5: Solve for x
    x = 140,476,679,754.79/174,962.53
  6. Step 6: Final answer
    x = 802,895.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.