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Finding the Third Proportional to 201,340.69 and 272,486.53

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Solution

The third proportional to 201,340.69 and 272,486.53 is: 368,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,340.69 : 272,486.53 = 272,486.53 : x
  2. Step 2: Convert to fraction form
    201,340.69/272,486.53 = 272,486.53/x
  3. Step 3: Cross multiply
    201,340.69x = 272,486.53 × 272,486.53
  4. Step 4: Simplify right side
    201,340.69x = 74,248,909,712.66
  5. Step 5: Solve for x
    x = 74,248,909,712.66/201,340.69
  6. Step 6: Final answer
    x = 368,772.51

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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.