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Finding the Third Proportional to 139,151 and 297,979

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Solution

The third proportional to 139,151 and 297,979 is: 638,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,151 : 297,979 = 297,979 : x
  2. Step 2: Convert to fraction form
    139,151/297,979 = 297,979/x
  3. Step 3: Cross multiply
    139,151x = 297,979 × 297,979
  4. Step 4: Simplify right side
    139,151x = 88,791,484,441
  5. Step 5: Solve for x
    x = 88,791,484,441/139,151
  6. Step 6: Final answer
    x = 638,094.48

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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.