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Finding the Third Proportional to 198,113 and 432,334

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Solution

The third proportional to 198,113 and 432,334 is: 943,465.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,113 : 432,334 = 432,334 : x
  2. Step 2: Convert to fraction form
    198,113/432,334 = 432,334/x
  3. Step 3: Cross multiply
    198,113x = 432,334 × 432,334
  4. Step 4: Simplify right side
    198,113x = 186,912,687,556
  5. Step 5: Solve for x
    x = 186,912,687,556/198,113
  6. Step 6: Final answer
    x = 943,465.03

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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.