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Finding the Third Proportional to 170,440 and 367,043

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Solution

The third proportional to 170,440 and 367,043 is: 790,428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,440 : 367,043 = 367,043 : x
  2. Step 2: Convert to fraction form
    170,440/367,043 = 367,043/x
  3. Step 3: Cross multiply
    170,440x = 367,043 × 367,043
  4. Step 4: Simplify right side
    170,440x = 134,720,563,849
  5. Step 5: Solve for x
    x = 134,720,563,849/170,440
  6. Step 6: Final answer
    x = 790,428.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.