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Finding the Third Proportional to 163,282 and 249,757

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Solution

The third proportional to 163,282 and 249,757 is: 382,029.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,282 : 249,757 = 249,757 : x
  2. Step 2: Convert to fraction form
    163,282/249,757 = 249,757/x
  3. Step 3: Cross multiply
    163,282x = 249,757 × 249,757
  4. Step 4: Simplify right side
    163,282x = 62,378,559,049
  5. Step 5: Solve for x
    x = 62,378,559,049/163,282
  6. Step 6: Final answer
    x = 382,029.61

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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.