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Finding the Third Proportional to 163,197 and 249,651

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Solution

The third proportional to 163,197 and 249,651 is: 381,904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,197 : 249,651 = 249,651 : x
  2. Step 2: Convert to fraction form
    163,197/249,651 = 249,651/x
  3. Step 3: Cross multiply
    163,197x = 249,651 × 249,651
  4. Step 4: Simplify right side
    163,197x = 62,325,621,801
  5. Step 5: Solve for x
    x = 62,325,621,801/163,197
  6. Step 6: Final answer
    x = 381,904.21

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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.