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Finding the Third Proportional to 167,232 and 357,360

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Solution

The third proportional to 167,232 and 357,360 is: 763,646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,232 : 357,360 = 357,360 : x
  2. Step 2: Convert to fraction form
    167,232/357,360 = 357,360/x
  3. Step 3: Cross multiply
    167,232x = 357,360 × 357,360
  4. Step 4: Simplify right side
    167,232x = 127,706,169,600
  5. Step 5: Solve for x
    x = 127,706,169,600/167,232
  6. Step 6: Final answer
    x = 763,646.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.