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Finding the Third Proportional to 106,564 and 229,748

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Solution

The third proportional to 106,564 and 229,748 is: 495,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,564 : 229,748 = 229,748 : x
  2. Step 2: Convert to fraction form
    106,564/229,748 = 229,748/x
  3. Step 3: Cross multiply
    106,564x = 229,748 × 229,748
  4. Step 4: Simplify right side
    106,564x = 52,784,143,504
  5. Step 5: Solve for x
    x = 52,784,143,504/106,564
  6. Step 6: Final answer
    x = 495,328.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.