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Finding the Third Proportional to 200,526.75 and 291,760.88

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Solution

The third proportional to 200,526.75 and 291,760.88 is: 424,504.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,526.75 : 291,760.88 = 291,760.88 : x
  2. Step 2: Convert to fraction form
    200,526.75/291,760.88 = 291,760.88/x
  3. Step 3: Cross multiply
    200,526.75x = 291,760.88 × 291,760.88
  4. Step 4: Simplify right side
    200,526.75x = 85,124,408,180.77
  5. Step 5: Solve for x
    x = 85,124,408,180.77/200,526.75
  6. Step 6: Final answer
    x = 424,504.00

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.