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Finding the Third Proportional to 249,682.50 and 386,176.36

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Solution

The third proportional to 249,682.50 and 386,176.36 is: 597,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,682.50 : 386,176.36 = 386,176.36 : x
  2. Step 2: Convert to fraction form
    249,682.50/386,176.36 = 386,176.36/x
  3. Step 3: Cross multiply
    249,682.50x = 386,176.36 × 386,176.36
  4. Step 4: Simplify right side
    249,682.50x = 149,132,180,540.13
  5. Step 5: Solve for x
    x = 149,132,180,540.13/249,682.50
  6. Step 6: Final answer
    x = 597,287.28

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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.