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Finding the Third Proportional to 200.76 and 432.37

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Solution

The third proportional to 200.76 and 432.37 is: 931.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.76 : 432.37 = 432.37 : x
  2. Step 2: Convert to fraction form
    200.76/432.37 = 432.37/x
  3. Step 3: Cross multiply
    200.76x = 432.37 × 432.37
  4. Step 4: Simplify right side
    200.76x = 186,943.07
  5. Step 5: Solve for x
    x = 186,943.07/200.76
  6. Step 6: Final answer
    x = 931.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.