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Finding the Third Proportional to 119,402 and 177,435

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Solution

The third proportional to 119,402 and 177,435 is: 263,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,402 : 177,435 = 177,435 : x
  2. Step 2: Convert to fraction form
    119,402/177,435 = 177,435/x
  3. Step 3: Cross multiply
    119,402x = 177,435 × 177,435
  4. Step 4: Simplify right side
    119,402x = 31,483,179,225
  5. Step 5: Solve for x
    x = 31,483,179,225/119,402
  6. Step 6: Final answer
    x = 263,673.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.