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Finding the Third Proportional to 165,798.25 and 250,273

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Solution

The third proportional to 165,798.25 and 250,273 is: 377,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,798.25 : 250,273 = 250,273 : x
  2. Step 2: Convert to fraction form
    165,798.25/250,273 = 250,273/x
  3. Step 3: Cross multiply
    165,798.25x = 250,273 × 250,273
  4. Step 4: Simplify right side
    165,798.25x = 62,636,574,529
  5. Step 5: Solve for x
    x = 62,636,574,529/165,798.25
  6. Step 6: Final answer
    x = 377,787.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.