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Finding the Third Proportional to 163,890 and 224,292

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Solution

The third proportional to 163,890 and 224,292 is: 306,955.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,890 : 224,292 = 224,292 : x
  2. Step 2: Convert to fraction form
    163,890/224,292 = 224,292/x
  3. Step 3: Cross multiply
    163,890x = 224,292 × 224,292
  4. Step 4: Simplify right side
    163,890x = 50,306,901,264
  5. Step 5: Solve for x
    x = 50,306,901,264/163,890
  6. Step 6: Final answer
    x = 306,955.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.