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Finding the Third Proportional to 162,484 and 251,101

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Solution

The third proportional to 162,484 and 251,101 is: 388,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,484 : 251,101 = 251,101 : x
  2. Step 2: Convert to fraction form
    162,484/251,101 = 251,101/x
  3. Step 3: Cross multiply
    162,484x = 251,101 × 251,101
  4. Step 4: Simplify right side
    162,484x = 63,051,712,201
  5. Step 5: Solve for x
    x = 63,051,712,201/162,484
  6. Step 6: Final answer
    x = 388,048.74

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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.