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Finding the Third Proportional to 172,140 and 247,932

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Solution

The third proportional to 172,140 and 247,932 is: 357,094.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,140 : 247,932 = 247,932 : x
  2. Step 2: Convert to fraction form
    172,140/247,932 = 247,932/x
  3. Step 3: Cross multiply
    172,140x = 247,932 × 247,932
  4. Step 4: Simplify right side
    172,140x = 61,470,276,624
  5. Step 5: Solve for x
    x = 61,470,276,624/172,140
  6. Step 6: Final answer
    x = 357,094.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.