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Finding the Third Proportional to 109,547 and 224,286

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Solution

The third proportional to 109,547 and 224,286 is: 459,202.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,547 : 224,286 = 224,286 : x
  2. Step 2: Convert to fraction form
    109,547/224,286 = 224,286/x
  3. Step 3: Cross multiply
    109,547x = 224,286 × 224,286
  4. Step 4: Simplify right side
    109,547x = 50,304,209,796
  5. Step 5: Solve for x
    x = 50,304,209,796/109,547
  6. Step 6: Final answer
    x = 459,202.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.