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Finding the Third Proportional to 152,322 and 330,564

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Solution

The third proportional to 152,322 and 330,564 is: 717,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,322 : 330,564 = 330,564 : x
  2. Step 2: Convert to fraction form
    152,322/330,564 = 330,564/x
  3. Step 3: Cross multiply
    152,322x = 330,564 × 330,564
  4. Step 4: Simplify right side
    152,322x = 109,272,558,096
  5. Step 5: Solve for x
    x = 109,272,558,096/152,322
  6. Step 6: Final answer
    x = 717,378.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.