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Finding the Third Proportional to 102,644 and 224,888

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Solution

The third proportional to 102,644 and 224,888 is: 492,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,644 : 224,888 = 224,888 : x
  2. Step 2: Convert to fraction form
    102,644/224,888 = 224,888/x
  3. Step 3: Cross multiply
    102,644x = 224,888 × 224,888
  4. Step 4: Simplify right side
    102,644x = 50,574,612,544
  5. Step 5: Solve for x
    x = 50,574,612,544/102,644
  6. Step 6: Final answer
    x = 492,718.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.