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Finding the Third Proportional to 162,046 and 245,307

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Solution

The third proportional to 162,046 and 245,307 is: 371,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,046 : 245,307 = 245,307 : x
  2. Step 2: Convert to fraction form
    162,046/245,307 = 245,307/x
  3. Step 3: Cross multiply
    162,046x = 245,307 × 245,307
  4. Step 4: Simplify right side
    162,046x = 60,175,524,249
  5. Step 5: Solve for x
    x = 60,175,524,249/162,046
  6. Step 6: Final answer
    x = 371,348.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.