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Finding the Third Proportional to 147,706 and 223,319

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Solution

The third proportional to 147,706 and 223,319 is: 337,639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,706 : 223,319 = 223,319 : x
  2. Step 2: Convert to fraction form
    147,706/223,319 = 223,319/x
  3. Step 3: Cross multiply
    147,706x = 223,319 × 223,319
  4. Step 4: Simplify right side
    147,706x = 49,871,375,761
  5. Step 5: Solve for x
    x = 49,871,375,761/147,706
  6. Step 6: Final answer
    x = 337,639.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.