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Finding the Third Proportional to 163,269 and 249,768

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Solution

The third proportional to 163,269 and 249,768 is: 382,093.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,269 : 249,768 = 249,768 : x
  2. Step 2: Convert to fraction form
    163,269/249,768 = 249,768/x
  3. Step 3: Cross multiply
    163,269x = 249,768 × 249,768
  4. Step 4: Simplify right side
    163,269x = 62,384,053,824
  5. Step 5: Solve for x
    x = 62,384,053,824/163,269
  6. Step 6: Final answer
    x = 382,093.68

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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.