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Finding the Third Proportional to 204,942 and 286,588.50

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Solution

The third proportional to 204,942 and 286,588.50 is: 400,762.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,942 : 286,588.50 = 286,588.50 : x
  2. Step 2: Convert to fraction form
    204,942/286,588.50 = 286,588.50/x
  3. Step 3: Cross multiply
    204,942x = 286,588.50 × 286,588.50
  4. Step 4: Simplify right side
    204,942x = 82,132,968,332.25
  5. Step 5: Solve for x
    x = 82,132,968,332.25/204,942
  6. Step 6: Final answer
    x = 400,762.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.