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Finding the Third Proportional to 76,801 and 157,428

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Solution

The third proportional to 76,801 and 157,428 is: 322,698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,801 : 157,428 = 157,428 : x
  2. Step 2: Convert to fraction form
    76,801/157,428 = 157,428/x
  3. Step 3: Cross multiply
    76,801x = 157,428 × 157,428
  4. Step 4: Simplify right side
    76,801x = 24,783,575,184
  5. Step 5: Solve for x
    x = 24,783,575,184/76,801
  6. Step 6: Final answer
    x = 322,698.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.