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Finding the Third Proportional to 161,865 and 245,055

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Solution

The third proportional to 161,865 and 245,055 is: 371,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,865 : 245,055 = 245,055 : x
  2. Step 2: Convert to fraction form
    161,865/245,055 = 245,055/x
  3. Step 3: Cross multiply
    161,865x = 245,055 × 245,055
  4. Step 4: Simplify right side
    161,865x = 60,051,953,025
  5. Step 5: Solve for x
    x = 60,051,953,025/161,865
  6. Step 6: Final answer
    x = 371,000.23

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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.