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Finding the Third Proportional to 180,901 and 265,931

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Solution

The third proportional to 180,901 and 265,931 is: 390,928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,901 : 265,931 = 265,931 : x
  2. Step 2: Convert to fraction form
    180,901/265,931 = 265,931/x
  3. Step 3: Cross multiply
    180,901x = 265,931 × 265,931
  4. Step 4: Simplify right side
    180,901x = 70,719,296,761
  5. Step 5: Solve for x
    x = 70,719,296,761/180,901
  6. Step 6: Final answer
    x = 390,928.17

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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.