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Finding the Third Proportional to 180,168 and 392,046

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Solution

The third proportional to 180,168 and 392,046 is: 853,093.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,168 : 392,046 = 392,046 : x
  2. Step 2: Convert to fraction form
    180,168/392,046 = 392,046/x
  3. Step 3: Cross multiply
    180,168x = 392,046 × 392,046
  4. Step 4: Simplify right side
    180,168x = 153,700,066,116
  5. Step 5: Solve for x
    x = 153,700,066,116/180,168
  6. Step 6: Final answer
    x = 853,093.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.