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Finding the Third Proportional to 199,623 and 286,948.50

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Solution

The third proportional to 199,623 and 286,948.50 is: 412,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,623 : 286,948.50 = 286,948.50 : x
  2. Step 2: Convert to fraction form
    199,623/286,948.50 = 286,948.50/x
  3. Step 3: Cross multiply
    199,623x = 286,948.50 × 286,948.50
  4. Step 4: Simplify right side
    199,623x = 82,339,441,652.25
  5. Step 5: Solve for x
    x = 82,339,441,652.25/199,623
  6. Step 6: Final answer
    x = 412,474.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.