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Finding the Third Proportional to 162,668 and 250,342

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Solution

The third proportional to 162,668 and 250,342 is: 385,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,668 : 250,342 = 250,342 : x
  2. Step 2: Convert to fraction form
    162,668/250,342 = 250,342/x
  3. Step 3: Cross multiply
    162,668x = 250,342 × 250,342
  4. Step 4: Simplify right side
    162,668x = 62,671,116,964
  5. Step 5: Solve for x
    x = 62,671,116,964/162,668
  6. Step 6: Final answer
    x = 385,270.10

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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.