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Finding the Third Proportional to 145,268.63 and 314,665.13

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Solution

The third proportional to 145,268.63 and 314,665.13 is: 681,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,268.63 : 314,665.13 = 314,665.13 : x
  2. Step 2: Convert to fraction form
    145,268.63/314,665.13 = 314,665.13/x
  3. Step 3: Cross multiply
    145,268.63x = 314,665.13 × 314,665.13
  4. Step 4: Simplify right side
    145,268.63x = 99,014,140,891.27
  5. Step 5: Solve for x
    x = 99,014,140,891.27/145,268.63
  6. Step 6: Final answer
    x = 681,593.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.