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Finding the Third Proportional to 163,272 and 249,738

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Solution

The third proportional to 163,272 and 249,738 is: 381,994.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,272 : 249,738 = 249,738 : x
  2. Step 2: Convert to fraction form
    163,272/249,738 = 249,738/x
  3. Step 3: Cross multiply
    163,272x = 249,738 × 249,738
  4. Step 4: Simplify right side
    163,272x = 62,369,068,644
  5. Step 5: Solve for x
    x = 62,369,068,644/163,272
  6. Step 6: Final answer
    x = 381,994.88

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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.