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Finding the Third Proportional to 106,554 and 223,312

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Solution

The third proportional to 106,554 and 223,312 is: 468,009.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,554 : 223,312 = 223,312 : x
  2. Step 2: Convert to fraction form
    106,554/223,312 = 223,312/x
  3. Step 3: Cross multiply
    106,554x = 223,312 × 223,312
  4. Step 4: Simplify right side
    106,554x = 49,868,249,344
  5. Step 5: Solve for x
    x = 49,868,249,344/106,554
  6. Step 6: Final answer
    x = 468,009.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.