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Finding the Third Proportional to 180,845.72 and 392,825.81

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Solution

The third proportional to 180,845.72 and 392,825.81 is: 853,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,845.72 : 392,825.81 = 392,825.81 : x
  2. Step 2: Convert to fraction form
    180,845.72/392,825.81 = 392,825.81/x
  3. Step 3: Cross multiply
    180,845.72x = 392,825.81 × 392,825.81
  4. Step 4: Simplify right side
    180,845.72x = 154,312,118,966.29
  5. Step 5: Solve for x
    x = 154,312,118,966.29/180,845.72
  6. Step 6: Final answer
    x = 853,280.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.