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Finding the Third Proportional to 249,093.56 and 396,548.16

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Solution

The third proportional to 249,093.56 and 396,548.16 is: 631,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,093.56 : 396,548.16 = 396,548.16 : x
  2. Step 2: Convert to fraction form
    249,093.56/396,548.16 = 396,548.16/x
  3. Step 3: Cross multiply
    249,093.56x = 396,548.16 × 396,548.16
  4. Step 4: Simplify right side
    249,093.56x = 157,250,440,225.27
  5. Step 5: Solve for x
    x = 157,250,440,225.27/249,093.56
  6. Step 6: Final answer
    x = 631,290.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.