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Finding the Third Proportional to 198,664 and 432,792.50

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Solution

The third proportional to 198,664 and 432,792.50 is: 942,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,664 : 432,792.50 = 432,792.50 : x
  2. Step 2: Convert to fraction form
    198,664/432,792.50 = 432,792.50/x
  3. Step 3: Cross multiply
    198,664x = 432,792.50 × 432,792.50
  4. Step 4: Simplify right side
    198,664x = 187,309,348,056.25
  5. Step 5: Solve for x
    x = 187,309,348,056.25/198,664
  6. Step 6: Final answer
    x = 942,844.94

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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.