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Finding the Third Proportional to 155,304 and 330,944

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Solution

The third proportional to 155,304 and 330,944 is: 705,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,304 : 330,944 = 330,944 : x
  2. Step 2: Convert to fraction form
    155,304/330,944 = 330,944/x
  3. Step 3: Cross multiply
    155,304x = 330,944 × 330,944
  4. Step 4: Simplify right side
    155,304x = 109,523,931,136
  5. Step 5: Solve for x
    x = 109,523,931,136/155,304
  6. Step 6: Final answer
    x = 705,222.86

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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.