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Finding the Third Proportional to 163,401.75 and 245,020.50

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Solution

The third proportional to 163,401.75 and 245,020.50 is: 367,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,401.75 : 245,020.50 = 245,020.50 : x
  2. Step 2: Convert to fraction form
    163,401.75/245,020.50 = 245,020.50/x
  3. Step 3: Cross multiply
    163,401.75x = 245,020.50 × 245,020.50
  4. Step 4: Simplify right side
    163,401.75x = 60,035,045,420.25
  5. Step 5: Solve for x
    x = 60,035,045,420.25/163,401.75
  6. Step 6: Final answer
    x = 367,407.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.