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Finding the Third Proportional to 249,753 and 397,234.50

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Solution

The third proportional to 249,753 and 397,234.50 is: 631,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,753 : 397,234.50 = 397,234.50 : x
  2. Step 2: Convert to fraction form
    249,753/397,234.50 = 397,234.50/x
  3. Step 3: Cross multiply
    249,753x = 397,234.50 × 397,234.50
  4. Step 4: Simplify right side
    249,753x = 157,795,247,990.25
  5. Step 5: Solve for x
    x = 157,795,247,990.25/249,753
  6. Step 6: Final answer
    x = 631,805.22

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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.