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Finding the Third Proportional to 175,232 and 266,313

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Solution

The third proportional to 175,232 and 266,313 is: 404,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,232 : 266,313 = 266,313 : x
  2. Step 2: Convert to fraction form
    175,232/266,313 = 266,313/x
  3. Step 3: Cross multiply
    175,232x = 266,313 × 266,313
  4. Step 4: Simplify right side
    175,232x = 70,922,613,969
  5. Step 5: Solve for x
    x = 70,922,613,969/175,232
  6. Step 6: Final answer
    x = 404,735.52

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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.