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Finding the Third Proportional to 204,541.88 and 292,801.50

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Solution

The third proportional to 204,541.88 and 292,801.50 is: 419,145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,541.88 : 292,801.50 = 292,801.50 : x
  2. Step 2: Convert to fraction form
    204,541.88/292,801.50 = 292,801.50/x
  3. Step 3: Cross multiply
    204,541.88x = 292,801.50 × 292,801.50
  4. Step 4: Simplify right side
    204,541.88x = 85,732,718,402.25
  5. Step 5: Solve for x
    x = 85,732,718,402.25/204,541.88
  6. Step 6: Final answer
    x = 419,145.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.