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Finding the Third Proportional to 94,321 and 205,490

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Solution

The third proportional to 94,321 and 205,490 is: 447,685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,321 : 205,490 = 205,490 : x
  2. Step 2: Convert to fraction form
    94,321/205,490 = 205,490/x
  3. Step 3: Cross multiply
    94,321x = 205,490 × 205,490
  4. Step 4: Simplify right side
    94,321x = 42,226,140,100
  5. Step 5: Solve for x
    x = 42,226,140,100/94,321
  6. Step 6: Final answer
    x = 447,685.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.