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Finding the Third Proportional to 176,407 and 266,952

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Solution

The third proportional to 176,407 and 266,952 is: 403,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,407 : 266,952 = 266,952 : x
  2. Step 2: Convert to fraction form
    176,407/266,952 = 266,952/x
  3. Step 3: Cross multiply
    176,407x = 266,952 × 266,952
  4. Step 4: Simplify right side
    176,407x = 71,263,370,304
  5. Step 5: Solve for x
    x = 71,263,370,304/176,407
  6. Step 6: Final answer
    x = 403,971.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.