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Finding the Third Proportional to 201,463.88 and 314,452.13

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Solution

The third proportional to 201,463.88 and 314,452.13 is: 490,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,463.88 : 314,452.13 = 314,452.13 : x
  2. Step 2: Convert to fraction form
    201,463.88/314,452.13 = 314,452.13/x
  3. Step 3: Cross multiply
    201,463.88x = 314,452.13 × 314,452.13
  4. Step 4: Simplify right side
    201,463.88x = 98,880,138,917.02
  5. Step 5: Solve for x
    x = 98,880,138,917.02/201,463.88
  6. Step 6: Final answer
    x = 490,808.28

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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.