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Finding the Third Proportional to 198,582 and 432,108

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Solution

The third proportional to 198,582 and 432,108 is: 940,253.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,582 : 432,108 = 432,108 : x
  2. Step 2: Convert to fraction form
    198,582/432,108 = 432,108/x
  3. Step 3: Cross multiply
    198,582x = 432,108 × 432,108
  4. Step 4: Simplify right side
    198,582x = 186,717,323,664
  5. Step 5: Solve for x
    x = 186,717,323,664/198,582
  6. Step 6: Final answer
    x = 940,253.01

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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.