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Finding the Third Proportional to 163,744 and 249,990

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Solution

The third proportional to 163,744 and 249,990 is: 381,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,744 : 249,990 = 249,990 : x
  2. Step 2: Convert to fraction form
    163,744/249,990 = 249,990/x
  3. Step 3: Cross multiply
    163,744x = 249,990 × 249,990
  4. Step 4: Simplify right side
    163,744x = 62,495,000,100
  5. Step 5: Solve for x
    x = 62,495,000,100/163,744
  6. Step 6: Final answer
    x = 381,662.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.