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Finding the Third Proportional to 148,101 and 223,460

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Solution

The third proportional to 148,101 and 223,460 is: 337,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,101 : 223,460 = 223,460 : x
  2. Step 2: Convert to fraction form
    148,101/223,460 = 223,460/x
  3. Step 3: Cross multiply
    148,101x = 223,460 × 223,460
  4. Step 4: Simplify right side
    148,101x = 49,934,371,600
  5. Step 5: Solve for x
    x = 49,934,371,600/148,101
  6. Step 6: Final answer
    x = 337,164.31

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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.