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Finding the Third Proportional to 94,365 and 205,335

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Solution

The third proportional to 94,365 and 205,335 is: 446,801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,365 : 205,335 = 205,335 : x
  2. Step 2: Convert to fraction form
    94,365/205,335 = 205,335/x
  3. Step 3: Cross multiply
    94,365x = 205,335 × 205,335
  4. Step 4: Simplify right side
    94,365x = 42,162,462,225
  5. Step 5: Solve for x
    x = 42,162,462,225/94,365
  6. Step 6: Final answer
    x = 446,801.91

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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.