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Finding the Third Proportional to 224,521 and 348,621

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Solution

The third proportional to 224,521 and 348,621 is: 541,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,521 : 348,621 = 348,621 : x
  2. Step 2: Convert to fraction form
    224,521/348,621 = 348,621/x
  3. Step 3: Cross multiply
    224,521x = 348,621 × 348,621
  4. Step 4: Simplify right side
    224,521x = 121,536,601,641
  5. Step 5: Solve for x
    x = 121,536,601,641/224,521
  6. Step 6: Final answer
    x = 541,315.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.