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Finding the Third Proportional to 166,924 and 360,076

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Solution

The third proportional to 166,924 and 360,076 is: 776,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,924 : 360,076 = 360,076 : x
  2. Step 2: Convert to fraction form
    166,924/360,076 = 360,076/x
  3. Step 3: Cross multiply
    166,924x = 360,076 × 360,076
  4. Step 4: Simplify right side
    166,924x = 129,654,725,776
  5. Step 5: Solve for x
    x = 129,654,725,776/166,924
  6. Step 6: Final answer
    x = 776,729.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.