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Finding the Third Proportional to 203,584 and 299,294

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Solution

The third proportional to 203,584 and 299,294 is: 439,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,584 : 299,294 = 299,294 : x
  2. Step 2: Convert to fraction form
    203,584/299,294 = 299,294/x
  3. Step 3: Cross multiply
    203,584x = 299,294 × 299,294
  4. Step 4: Simplify right side
    203,584x = 89,576,898,436
  5. Step 5: Solve for x
    x = 89,576,898,436/203,584
  6. Step 6: Final answer
    x = 439,999.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.