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Finding the Third Proportional to 202,232.95 and 432,871.59

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Solution

The third proportional to 202,232.95 and 432,871.59 is: 926,544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,232.95 : 432,871.59 = 432,871.59 : x
  2. Step 2: Convert to fraction form
    202,232.95/432,871.59 = 432,871.59/x
  3. Step 3: Cross multiply
    202,232.95x = 432,871.59 × 432,871.59
  4. Step 4: Simplify right side
    202,232.95x = 187,377,816,675.67
  5. Step 5: Solve for x
    x = 187,377,816,675.67/202,232.95
  6. Step 6: Final answer
    x = 926,544.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.