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Finding the Third Proportional to 180,848.53 and 392,831.44

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Solution

The third proportional to 180,848.53 and 392,831.44 is: 853,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,848.53 : 392,831.44 = 392,831.44 : x
  2. Step 2: Convert to fraction form
    180,848.53/392,831.44 = 392,831.44/x
  3. Step 3: Cross multiply
    180,848.53x = 392,831.44 × 392,831.44
  4. Step 4: Simplify right side
    180,848.53x = 154,316,538,288.32
  5. Step 5: Solve for x
    x = 154,316,538,288.32/180,848.53
  6. Step 6: Final answer
    x = 853,291.63

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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.