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Finding the Third Proportional to 200,893.50 and 272,838

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Solution

The third proportional to 200,893.50 and 272,838 is: 370,547.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,893.50 : 272,838 = 272,838 : x
  2. Step 2: Convert to fraction form
    200,893.50/272,838 = 272,838/x
  3. Step 3: Cross multiply
    200,893.50x = 272,838 × 272,838
  4. Step 4: Simplify right side
    200,893.50x = 74,440,574,244
  5. Step 5: Solve for x
    x = 74,440,574,244/200,893.50
  6. Step 6: Final answer
    x = 370,547.45

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