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Finding the Third Proportional to 201,064.50 and 433,020.38

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Solution

The third proportional to 201,064.50 and 433,020.38 is: 932,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,064.50 : 433,020.38 = 433,020.38 : x
  2. Step 2: Convert to fraction form
    201,064.50/433,020.38 = 433,020.38/x
  3. Step 3: Cross multiply
    201,064.50x = 433,020.38 × 433,020.38
  4. Step 4: Simplify right side
    201,064.50x = 187,506,645,165.14
  5. Step 5: Solve for x
    x = 187,506,645,165.14/201,064.50
  6. Step 6: Final answer
    x = 932,569.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.