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Finding the Third Proportional to 94,680 and 205,560

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Solution

The third proportional to 94,680 and 205,560 is: 446,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,680 : 205,560 = 205,560 : x
  2. Step 2: Convert to fraction form
    94,680/205,560 = 205,560/x
  3. Step 3: Cross multiply
    94,680x = 205,560 × 205,560
  4. Step 4: Simplify right side
    94,680x = 42,254,913,600
  5. Step 5: Solve for x
    x = 42,254,913,600/94,680
  6. Step 6: Final answer
    x = 446,291.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.