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Finding the Third Proportional to 201,971.18 and 307,153.27

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Solution

The third proportional to 201,971.18 and 307,153.27 is: 467,111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,971.18 : 307,153.27 = 307,153.27 : x
  2. Step 2: Convert to fraction form
    201,971.18/307,153.27 = 307,153.27/x
  3. Step 3: Cross multiply
    201,971.18x = 307,153.27 × 307,153.27
  4. Step 4: Simplify right side
    201,971.18x = 94,343,128,584.10
  5. Step 5: Solve for x
    x = 94,343,128,584.10/201,971.18
  6. Step 6: Final answer
    x = 467,111.84

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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.