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Finding the Third Proportional to 224,072 and 354,972

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Solution

The third proportional to 224,072 and 354,972 is: 562,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,072 : 354,972 = 354,972 : x
  2. Step 2: Convert to fraction form
    224,072/354,972 = 354,972/x
  3. Step 3: Cross multiply
    224,072x = 354,972 × 354,972
  4. Step 4: Simplify right side
    224,072x = 126,005,120,784
  5. Step 5: Solve for x
    x = 126,005,120,784/224,072
  6. Step 6: Final answer
    x = 562,342.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.