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Finding the Third Proportional to 102,388 and 224,460

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Solution

The third proportional to 102,388 and 224,460 is: 492,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,388 : 224,460 = 224,460 : x
  2. Step 2: Convert to fraction form
    102,388/224,460 = 224,460/x
  3. Step 3: Cross multiply
    102,388x = 224,460 × 224,460
  4. Step 4: Simplify right side
    102,388x = 50,382,291,600
  5. Step 5: Solve for x
    x = 50,382,291,600/102,388
  6. Step 6: Final answer
    x = 492,072.23

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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.