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Finding the Third Proportional to 167,352 and 234,076

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Solution

The third proportional to 167,352 and 234,076 is: 327,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,352 : 234,076 = 234,076 : x
  2. Step 2: Convert to fraction form
    167,352/234,076 = 234,076/x
  3. Step 3: Cross multiply
    167,352x = 234,076 × 234,076
  4. Step 4: Simplify right side
    167,352x = 54,791,573,776
  5. Step 5: Solve for x
    x = 54,791,573,776/167,352
  6. Step 6: Final answer
    x = 327,403.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.