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Finding the Third Proportional to 162,906 and 251,724

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Solution

The third proportional to 162,906 and 251,724 is: 388,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,906 : 251,724 = 251,724 : x
  2. Step 2: Convert to fraction form
    162,906/251,724 = 251,724/x
  3. Step 3: Cross multiply
    162,906x = 251,724 × 251,724
  4. Step 4: Simplify right side
    162,906x = 63,364,972,176
  5. Step 5: Solve for x
    x = 63,364,972,176/162,906
  6. Step 6: Final answer
    x = 388,966.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.