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Finding the Third Proportional to 200,527.88 and 291,762.56

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Solution

The third proportional to 200,527.88 and 291,762.56 is: 424,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,527.88 : 291,762.56 = 291,762.56 : x
  2. Step 2: Convert to fraction form
    200,527.88/291,762.56 = 291,762.56/x
  3. Step 3: Cross multiply
    200,527.88x = 291,762.56 × 291,762.56
  4. Step 4: Simplify right side
    200,527.88x = 85,125,392,876.57
  5. Step 5: Solve for x
    x = 85,125,392,876.57/200,527.88
  6. Step 6: Final answer
    x = 424,506.53

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Why These Related Problems?

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