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Finding the Third Proportional to 200,008.13 and 330,348.38

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Solution

The third proportional to 200,008.13 and 330,348.38 is: 545,628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,008.13 : 330,348.38 = 330,348.38 : x
  2. Step 2: Convert to fraction form
    200,008.13/330,348.38 = 330,348.38/x
  3. Step 3: Cross multiply
    200,008.13x = 330,348.38 × 330,348.38
  4. Step 4: Simplify right side
    200,008.13x = 109,130,048,865.14
  5. Step 5: Solve for x
    x = 109,130,048,865.14/200,008.13
  6. Step 6: Final answer
    x = 545,628.08

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.