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Finding the Third Proportional to 162,462 and 251,070

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Solution

The third proportional to 162,462 and 251,070 is: 388,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,462 : 251,070 = 251,070 : x
  2. Step 2: Convert to fraction form
    162,462/251,070 = 251,070/x
  3. Step 3: Cross multiply
    162,462x = 251,070 × 251,070
  4. Step 4: Simplify right side
    162,462x = 63,036,144,900
  5. Step 5: Solve for x
    x = 63,036,144,900/162,462
  6. Step 6: Final answer
    x = 388,005.47

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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.