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Finding the Third Proportional to 201,973.22 and 307,156.22

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Solution

The third proportional to 201,973.22 and 307,156.22 is: 467,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,973.22 : 307,156.22 = 307,156.22 : x
  2. Step 2: Convert to fraction form
    201,973.22/307,156.22 = 307,156.22/x
  3. Step 3: Cross multiply
    201,973.22x = 307,156.22 × 307,156.22
  4. Step 4: Simplify right side
    201,973.22x = 94,344,942,716.80
  5. Step 5: Solve for x
    x = 94,344,942,716.80/201,973.22
  6. Step 6: Final answer
    x = 467,116.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.