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Finding the Third Proportional to 193,671 and 282,802.50

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Solution

The third proportional to 193,671 and 282,802.50 is: 412,954.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,671 : 282,802.50 = 282,802.50 : x
  2. Step 2: Convert to fraction form
    193,671/282,802.50 = 282,802.50/x
  3. Step 3: Cross multiply
    193,671x = 282,802.50 × 282,802.50
  4. Step 4: Simplify right side
    193,671x = 79,977,254,006.25
  5. Step 5: Solve for x
    x = 79,977,254,006.25/193,671
  6. Step 6: Final answer
    x = 412,954.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.