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Finding the Third Proportional to 262,158 and 392,301

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Solution

The third proportional to 262,158 and 392,301 is: 587,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,158 : 392,301 = 392,301 : x
  2. Step 2: Convert to fraction form
    262,158/392,301 = 392,301/x
  3. Step 3: Cross multiply
    262,158x = 392,301 × 392,301
  4. Step 4: Simplify right side
    262,158x = 153,900,074,601
  5. Step 5: Solve for x
    x = 153,900,074,601/262,158
  6. Step 6: Final answer
    x = 587,050.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.