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Finding the Third Proportional to 161,914 and 245,134

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Solution

The third proportional to 161,914 and 245,134 is: 371,127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,914 : 245,134 = 245,134 : x
  2. Step 2: Convert to fraction form
    161,914/245,134 = 245,134/x
  3. Step 3: Cross multiply
    161,914x = 245,134 × 245,134
  4. Step 4: Simplify right side
    161,914x = 60,090,677,956
  5. Step 5: Solve for x
    x = 60,090,677,956/161,914
  6. Step 6: Final answer
    x = 371,127.13

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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.