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Finding the Third Proportional to 156,058 and 235,465

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Solution

The third proportional to 156,058 and 235,465 is: 355,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,058 : 235,465 = 235,465 : x
  2. Step 2: Convert to fraction form
    156,058/235,465 = 235,465/x
  3. Step 3: Cross multiply
    156,058x = 235,465 × 235,465
  4. Step 4: Simplify right side
    156,058x = 55,443,766,225
  5. Step 5: Solve for x
    x = 55,443,766,225/156,058
  6. Step 6: Final answer
    x = 355,276.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.