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Finding the Third Proportional to 182,807.63 and 407,625.38

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Solution

The third proportional to 182,807.63 and 407,625.38 is: 908,925.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,807.63 : 407,625.38 = 407,625.38 : x
  2. Step 2: Convert to fraction form
    182,807.63/407,625.38 = 407,625.38/x
  3. Step 3: Cross multiply
    182,807.63x = 407,625.38 × 407,625.38
  4. Step 4: Simplify right side
    182,807.63x = 166,158,446,343.89
  5. Step 5: Solve for x
    x = 166,158,446,343.89/182,807.63
  6. Step 6: Final answer
    x = 908,925.14

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.