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Finding the Third Proportional to 204,044 and 286,828.50

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Solution

The third proportional to 204,044 and 286,828.50 is: 403,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,044 : 286,828.50 = 286,828.50 : x
  2. Step 2: Convert to fraction form
    204,044/286,828.50 = 286,828.50/x
  3. Step 3: Cross multiply
    204,044x = 286,828.50 × 286,828.50
  4. Step 4: Simplify right side
    204,044x = 82,270,588,412.25
  5. Step 5: Solve for x
    x = 82,270,588,412.25/204,044
  6. Step 6: Final answer
    x = 403,200.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.