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Finding the Third Proportional to 224,501 and 348,557

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Solution

The third proportional to 224,501 and 348,557 is: 541,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,501 : 348,557 = 348,557 : x
  2. Step 2: Convert to fraction form
    224,501/348,557 = 348,557/x
  3. Step 3: Cross multiply
    224,501x = 348,557 × 348,557
  4. Step 4: Simplify right side
    224,501x = 121,491,982,249
  5. Step 5: Solve for x
    x = 121,491,982,249/224,501
  6. Step 6: Final answer
    x = 541,164.55

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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.