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Finding the Third Proportional to 139,076 and 299,118

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Solution

The third proportional to 139,076 and 299,118 is: 643,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,076 : 299,118 = 299,118 : x
  2. Step 2: Convert to fraction form
    139,076/299,118 = 299,118/x
  3. Step 3: Cross multiply
    139,076x = 299,118 × 299,118
  4. Step 4: Simplify right side
    139,076x = 89,471,577,924
  5. Step 5: Solve for x
    x = 89,471,577,924/139,076
  6. Step 6: Final answer
    x = 643,328.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.