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Finding the Third Proportional to 163,373 and 249,866

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Solution

The third proportional to 163,373 and 249,866 is: 382,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,373 : 249,866 = 249,866 : x
  2. Step 2: Convert to fraction form
    163,373/249,866 = 249,866/x
  3. Step 3: Cross multiply
    163,373x = 249,866 × 249,866
  4. Step 4: Simplify right side
    163,373x = 62,433,017,956
  5. Step 5: Solve for x
    x = 62,433,017,956/163,373
  6. Step 6: Final answer
    x = 382,150.16

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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.