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Finding the Third Proportional to 180,152 and 392,016

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Solution

The third proportional to 180,152 and 392,016 is: 853,038.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,152 : 392,016 = 392,016 : x
  2. Step 2: Convert to fraction form
    180,152/392,016 = 392,016/x
  3. Step 3: Cross multiply
    180,152x = 392,016 × 392,016
  4. Step 4: Simplify right side
    180,152x = 153,676,544,256
  5. Step 5: Solve for x
    x = 153,676,544,256/180,152
  6. Step 6: Final answer
    x = 853,038.24

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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.