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Finding the Third Proportional to 152,669 and 336,334

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Solution

The third proportional to 152,669 and 336,334 is: 740,953.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,669 : 336,334 = 336,334 : x
  2. Step 2: Convert to fraction form
    152,669/336,334 = 336,334/x
  3. Step 3: Cross multiply
    152,669x = 336,334 × 336,334
  4. Step 4: Simplify right side
    152,669x = 113,120,559,556
  5. Step 5: Solve for x
    x = 113,120,559,556/152,669
  6. Step 6: Final answer
    x = 740,953.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.