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Finding the Third Proportional to 289,071 and 314,847

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Solution

The third proportional to 289,071 and 314,847 is: 342,921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,071 : 314,847 = 314,847 : x
  2. Step 2: Convert to fraction form
    289,071/314,847 = 314,847/x
  3. Step 3: Cross multiply
    289,071x = 314,847 × 314,847
  4. Step 4: Simplify right side
    289,071x = 99,128,633,409
  5. Step 5: Solve for x
    x = 99,128,633,409/289,071
  6. Step 6: Final answer
    x = 342,921.40

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.