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Finding the Third Proportional to 201,347 and 272,495

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Solution

The third proportional to 201,347 and 272,495 is: 368,783.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,347 : 272,495 = 272,495 : x
  2. Step 2: Convert to fraction form
    201,347/272,495 = 272,495/x
  3. Step 3: Cross multiply
    201,347x = 272,495 × 272,495
  4. Step 4: Simplify right side
    201,347x = 74,253,525,025
  5. Step 5: Solve for x
    x = 74,253,525,025/201,347
  6. Step 6: Final answer
    x = 368,783.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.