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Finding the Third Proportional to 139,004 and 305,072

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Solution

The third proportional to 139,004 and 305,072 is: 669,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,004 : 305,072 = 305,072 : x
  2. Step 2: Convert to fraction form
    139,004/305,072 = 305,072/x
  3. Step 3: Cross multiply
    139,004x = 305,072 × 305,072
  4. Step 4: Simplify right side
    139,004x = 93,068,925,184
  5. Step 5: Solve for x
    x = 93,068,925,184/139,004
  6. Step 6: Final answer
    x = 669,541.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.