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Finding the Third Proportional to 153,518 and 330,364

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Solution

The third proportional to 153,518 and 330,364 is: 710,928.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,518 : 330,364 = 330,364 : x
  2. Step 2: Convert to fraction form
    153,518/330,364 = 330,364/x
  3. Step 3: Cross multiply
    153,518x = 330,364 × 330,364
  4. Step 4: Simplify right side
    153,518x = 109,140,372,496
  5. Step 5: Solve for x
    x = 109,140,372,496/153,518
  6. Step 6: Final answer
    x = 710,928.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.