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Finding the Third Proportional to 201,133.50 and 418,953

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Solution

The third proportional to 201,133.50 and 418,953 is: 872,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,133.50 : 418,953 = 418,953 : x
  2. Step 2: Convert to fraction form
    201,133.50/418,953 = 418,953/x
  3. Step 3: Cross multiply
    201,133.50x = 418,953 × 418,953
  4. Step 4: Simplify right side
    201,133.50x = 175,521,616,209
  5. Step 5: Solve for x
    x = 175,521,616,209/201,133.50
  6. Step 6: Final answer
    x = 872,662.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.