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Finding the Third Proportional to 147,783 and 234,045

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Solution

The third proportional to 147,783 and 234,045 is: 370,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,783 : 234,045 = 234,045 : x
  2. Step 2: Convert to fraction form
    147,783/234,045 = 234,045/x
  3. Step 3: Cross multiply
    147,783x = 234,045 × 234,045
  4. Step 4: Simplify right side
    147,783x = 54,777,062,025
  5. Step 5: Solve for x
    x = 54,777,062,025/147,783
  6. Step 6: Final answer
    x = 370,658.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.