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Finding the Third Proportional to 180,735 and 392,582.75

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Solution

The third proportional to 180,735 and 392,582.75 is: 852,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,735 : 392,582.75 = 392,582.75 : x
  2. Step 2: Convert to fraction form
    180,735/392,582.75 = 392,582.75/x
  3. Step 3: Cross multiply
    180,735x = 392,582.75 × 392,582.75
  4. Step 4: Simplify right side
    180,735x = 154,121,215,597.56
  5. Step 5: Solve for x
    x = 154,121,215,597.56/180,735
  6. Step 6: Final answer
    x = 852,746.93

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