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Finding the Third Proportional to 201,517.88 and 314,533.13

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Solution

The third proportional to 201,517.88 and 314,533.13 is: 490,929.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,517.88 : 314,533.13 = 314,533.13 : x
  2. Step 2: Convert to fraction form
    201,517.88/314,533.13 = 314,533.13/x
  3. Step 3: Cross multiply
    201,517.88x = 314,533.13 × 314,533.13
  4. Step 4: Simplify right side
    201,517.88x = 98,931,086,722.27
  5. Step 5: Solve for x
    x = 98,931,086,722.27/201,517.88
  6. Step 6: Final answer
    x = 490,929.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.