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Finding the Third Proportional to 133,172 and 314,323

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Solution

The third proportional to 133,172 and 314,323 is: 741,889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,172 : 314,323 = 314,323 : x
  2. Step 2: Convert to fraction form
    133,172/314,323 = 314,323/x
  3. Step 3: Cross multiply
    133,172x = 314,323 × 314,323
  4. Step 4: Simplify right side
    133,172x = 98,798,948,329
  5. Step 5: Solve for x
    x = 98,798,948,329/133,172
  6. Step 6: Final answer
    x = 741,889.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.