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Finding the Third Proportional to 176,924 and 260,166

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Solution

The third proportional to 176,924 and 260,166 is: 382,573.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,924 : 260,166 = 260,166 : x
  2. Step 2: Convert to fraction form
    176,924/260,166 = 260,166/x
  3. Step 3: Cross multiply
    176,924x = 260,166 × 260,166
  4. Step 4: Simplify right side
    176,924x = 67,686,347,556
  5. Step 5: Solve for x
    x = 67,686,347,556/176,924
  6. Step 6: Final answer
    x = 382,573.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.