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Finding the Third Proportional to 158,263 and 366,065

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Solution

The third proportional to 158,263 and 366,065 is: 846,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,263 : 366,065 = 366,065 : x
  2. Step 2: Convert to fraction form
    158,263/366,065 = 366,065/x
  3. Step 3: Cross multiply
    158,263x = 366,065 × 366,065
  4. Step 4: Simplify right side
    158,263x = 134,003,584,225
  5. Step 5: Solve for x
    x = 134,003,584,225/158,263
  6. Step 6: Final answer
    x = 846,714.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.