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Finding the Third Proportional to 199,680 and 432,582

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Solution

The third proportional to 199,680 and 432,582 is: 937,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,680 : 432,582 = 432,582 : x
  2. Step 2: Convert to fraction form
    199,680/432,582 = 432,582/x
  3. Step 3: Cross multiply
    199,680x = 432,582 × 432,582
  4. Step 4: Simplify right side
    199,680x = 187,127,186,724
  5. Step 5: Solve for x
    x = 187,127,186,724/199,680
  6. Step 6: Final answer
    x = 937,135.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.