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Finding the Third Proportional to 180,902 and 265,932

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Solution

The third proportional to 180,902 and 265,932 is: 390,928.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,902 : 265,932 = 265,932 : x
  2. Step 2: Convert to fraction form
    180,902/265,932 = 265,932/x
  3. Step 3: Cross multiply
    180,902x = 265,932 × 265,932
  4. Step 4: Simplify right side
    180,902x = 70,719,828,624
  5. Step 5: Solve for x
    x = 70,719,828,624/180,902
  6. Step 6: Final answer
    x = 390,928.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.