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Finding the Third Proportional to 200,715.75 and 293,536.13

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Solution

The third proportional to 200,715.75 and 293,536.13 is: 429,280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,715.75 : 293,536.13 = 293,536.13 : x
  2. Step 2: Convert to fraction form
    200,715.75/293,536.13 = 293,536.13/x
  3. Step 3: Cross multiply
    200,715.75x = 293,536.13 × 293,536.13
  4. Step 4: Simplify right side
    200,715.75x = 86,163,456,680.02
  5. Step 5: Solve for x
    x = 86,163,456,680.02/200,715.75
  6. Step 6: Final answer
    x = 429,280.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.