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Finding the Third Proportional to 264,637.13 and 403,152.19

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Solution

The third proportional to 264,637.13 and 403,152.19 is: 614,168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,637.13 : 403,152.19 = 403,152.19 : x
  2. Step 2: Convert to fraction form
    264,637.13/403,152.19 = 403,152.19/x
  3. Step 3: Cross multiply
    264,637.13x = 403,152.19 × 403,152.19
  4. Step 4: Simplify right side
    264,637.13x = 162,531,686,286.04
  5. Step 5: Solve for x
    x = 162,531,686,286.04/264,637.13
  6. Step 6: Final answer
    x = 614,168.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.