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Finding the Third Proportional to 139,014 and 297,712

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Solution

The third proportional to 139,014 and 297,712 is: 637,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,014 : 297,712 = 297,712 : x
  2. Step 2: Convert to fraction form
    139,014/297,712 = 297,712/x
  3. Step 3: Cross multiply
    139,014x = 297,712 × 297,712
  4. Step 4: Simplify right side
    139,014x = 88,632,434,944
  5. Step 5: Solve for x
    x = 88,632,434,944/139,014
  6. Step 6: Final answer
    x = 637,579.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.