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Finding the Third Proportional to 152,352 and 330,124

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Solution

The third proportional to 152,352 and 330,124 is: 715,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,352 : 330,124 = 330,124 : x
  2. Step 2: Convert to fraction form
    152,352/330,124 = 330,124/x
  3. Step 3: Cross multiply
    152,352x = 330,124 × 330,124
  4. Step 4: Simplify right side
    152,352x = 108,981,855,376
  5. Step 5: Solve for x
    x = 108,981,855,376/152,352
  6. Step 6: Final answer
    x = 715,329.34

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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.