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Finding the Third Proportional to 148,770 and 223,155

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Solution

The third proportional to 148,770 and 223,155 is: 334,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,770 : 223,155 = 223,155 : x
  2. Step 2: Convert to fraction form
    148,770/223,155 = 223,155/x
  3. Step 3: Cross multiply
    148,770x = 223,155 × 223,155
  4. Step 4: Simplify right side
    148,770x = 49,798,154,025
  5. Step 5: Solve for x
    x = 49,798,154,025/148,770
  6. Step 6: Final answer
    x = 334,732.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.