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Finding the Third Proportional to 94,582 and 205,964

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Solution

The third proportional to 94,582 and 205,964 is: 448,512.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,582 : 205,964 = 205,964 : x
  2. Step 2: Convert to fraction form
    94,582/205,964 = 205,964/x
  3. Step 3: Cross multiply
    94,582x = 205,964 × 205,964
  4. Step 4: Simplify right side
    94,582x = 42,421,169,296
  5. Step 5: Solve for x
    x = 42,421,169,296/94,582
  6. Step 6: Final answer
    x = 448,512.08

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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.