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Finding the Third Proportional to 167,748 and 227,952

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Solution

The third proportional to 167,748 and 227,952 is: 309,762.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,748 : 227,952 = 227,952 : x
  2. Step 2: Convert to fraction form
    167,748/227,952 = 227,952/x
  3. Step 3: Cross multiply
    167,748x = 227,952 × 227,952
  4. Step 4: Simplify right side
    167,748x = 51,962,114,304
  5. Step 5: Solve for x
    x = 51,962,114,304/167,748
  6. Step 6: Final answer
    x = 309,762.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.