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Finding the Third Proportional to 200,955.38 and 272,903.06

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Solution

The third proportional to 200,955.38 and 272,903.06 is: 370,610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,955.38 : 272,903.06 = 272,903.06 : x
  2. Step 2: Convert to fraction form
    200,955.38/272,903.06 = 272,903.06/x
  3. Step 3: Cross multiply
    200,955.38x = 272,903.06 × 272,903.06
  4. Step 4: Simplify right side
    200,955.38x = 74,476,081,521.88
  5. Step 5: Solve for x
    x = 74,476,081,521.88/200,955.38
  6. Step 6: Final answer
    x = 370,610.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.