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Finding the Third Proportional to 198,502.88 and 432,693

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Solution

The third proportional to 198,502.88 and 432,693 is: 943,176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,502.88 : 432,693 = 432,693 : x
  2. Step 2: Convert to fraction form
    198,502.88/432,693 = 432,693/x
  3. Step 3: Cross multiply
    198,502.88x = 432,693 × 432,693
  4. Step 4: Simplify right side
    198,502.88x = 187,223,232,249
  5. Step 5: Solve for x
    x = 187,223,232,249/198,502.88
  6. Step 6: Final answer
    x = 943,176.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.