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Finding the Third Proportional to 207,165 and 313,548.50

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Solution

The third proportional to 207,165 and 313,548.50 is: 474,562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,165 : 313,548.50 = 313,548.50 : x
  2. Step 2: Convert to fraction form
    207,165/313,548.50 = 313,548.50/x
  3. Step 3: Cross multiply
    207,165x = 313,548.50 × 313,548.50
  4. Step 4: Simplify right side
    207,165x = 98,312,661,852.25
  5. Step 5: Solve for x
    x = 98,312,661,852.25/207,165
  6. Step 6: Final answer
    x = 474,562.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.