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Finding the Third Proportional to 180,488 and 265,500

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Solution

The third proportional to 180,488 and 265,500 is: 390,553.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,488 : 265,500 = 265,500 : x
  2. Step 2: Convert to fraction form
    180,488/265,500 = 265,500/x
  3. Step 3: Cross multiply
    180,488x = 265,500 × 265,500
  4. Step 4: Simplify right side
    180,488x = 70,490,250,000
  5. Step 5: Solve for x
    x = 70,490,250,000/180,488
  6. Step 6: Final answer
    x = 390,553.67

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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.