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Finding the Third Proportional to 249,935.63 and 387,114.19

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Solution

The third proportional to 249,935.63 and 387,114.19 is: 599,583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,935.63 : 387,114.19 = 387,114.19 : x
  2. Step 2: Convert to fraction form
    249,935.63/387,114.19 = 387,114.19/x
  3. Step 3: Cross multiply
    249,935.63x = 387,114.19 × 387,114.19
  4. Step 4: Simplify right side
    249,935.63x = 149,857,394,163.79
  5. Step 5: Solve for x
    x = 149,857,394,163.79/249,935.63
  6. Step 6: Final answer
    x = 599,583.97

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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.