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Finding the Third Proportional to 165,752 and 254,352

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Solution

The third proportional to 165,752 and 254,352 is: 390,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,752 : 254,352 = 254,352 : x
  2. Step 2: Convert to fraction form
    165,752/254,352 = 254,352/x
  3. Step 3: Cross multiply
    165,752x = 254,352 × 254,352
  4. Step 4: Simplify right side
    165,752x = 64,694,939,904
  5. Step 5: Solve for x
    x = 64,694,939,904/165,752
  6. Step 6: Final answer
    x = 390,311.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.