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Finding the Third Proportional to 162,664 and 250,336

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Solution

The third proportional to 162,664 and 250,336 is: 385,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,664 : 250,336 = 250,336 : x
  2. Step 2: Convert to fraction form
    162,664/250,336 = 250,336/x
  3. Step 3: Cross multiply
    162,664x = 250,336 × 250,336
  4. Step 4: Simplify right side
    162,664x = 62,668,112,896
  5. Step 5: Solve for x
    x = 62,668,112,896/162,664
  6. Step 6: Final answer
    x = 385,261.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.