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Finding the Third Proportional to 249,226.88 and 386,643.38

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Solution

The third proportional to 249,226.88 and 386,643.38 is: 599,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,226.88 : 386,643.38 = 386,643.38 : x
  2. Step 2: Convert to fraction form
    249,226.88/386,643.38 = 386,643.38/x
  3. Step 3: Cross multiply
    249,226.88x = 386,643.38 × 386,643.38
  4. Step 4: Simplify right side
    249,226.88x = 149,493,099,431.39
  5. Step 5: Solve for x
    x = 149,493,099,431.39/249,226.88
  6. Step 6: Final answer
    x = 599,827.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.