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Finding the Third Proportional to 201,252 and 272,353.50

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Solution

The third proportional to 201,252 and 272,353.50 is: 368,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,252 : 272,353.50 = 272,353.50 : x
  2. Step 2: Convert to fraction form
    201,252/272,353.50 = 272,353.50/x
  3. Step 3: Cross multiply
    201,252x = 272,353.50 × 272,353.50
  4. Step 4: Simplify right side
    201,252x = 74,176,428,962.25
  5. Step 5: Solve for x
    x = 74,176,428,962.25/201,252
  6. Step 6: Final answer
    x = 368,574.87

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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.