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Finding the Third Proportional to 152,342 and 330,106

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Solution

The third proportional to 152,342 and 330,106 is: 715,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,342 : 330,106 = 330,106 : x
  2. Step 2: Convert to fraction form
    152,342/330,106 = 330,106/x
  3. Step 3: Cross multiply
    152,342x = 330,106 × 330,106
  4. Step 4: Simplify right side
    152,342x = 108,969,971,236
  5. Step 5: Solve for x
    x = 108,969,971,236/152,342
  6. Step 6: Final answer
    x = 715,298.28

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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.