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Finding the Third Proportional to 207,201 and 319,954.50

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Solution

The third proportional to 207,201 and 319,954.50 is: 494,065.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,201 : 319,954.50 = 319,954.50 : x
  2. Step 2: Convert to fraction form
    207,201/319,954.50 = 319,954.50/x
  3. Step 3: Cross multiply
    207,201x = 319,954.50 × 319,954.50
  4. Step 4: Simplify right side
    207,201x = 102,370,882,070.25
  5. Step 5: Solve for x
    x = 102,370,882,070.25/207,201
  6. Step 6: Final answer
    x = 494,065.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.