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Finding the Third Proportional to 155,280 and 330,896

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Solution

The third proportional to 155,280 and 330,896 is: 705,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,280 : 330,896 = 330,896 : x
  2. Step 2: Convert to fraction form
    155,280/330,896 = 330,896/x
  3. Step 3: Cross multiply
    155,280x = 330,896 × 330,896
  4. Step 4: Simplify right side
    155,280x = 109,492,162,816
  5. Step 5: Solve for x
    x = 109,492,162,816/155,280
  6. Step 6: Final answer
    x = 705,127.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.