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Finding the Third Proportional to 163,286 and 249,777

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Solution

The third proportional to 163,286 and 249,777 is: 382,081.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,286 : 249,777 = 249,777 : x
  2. Step 2: Convert to fraction form
    163,286/249,777 = 249,777/x
  3. Step 3: Cross multiply
    163,286x = 249,777 × 249,777
  4. Step 4: Simplify right side
    163,286x = 62,388,549,729
  5. Step 5: Solve for x
    x = 62,388,549,729/163,286
  6. Step 6: Final answer
    x = 382,081.44

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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.