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Finding the Third Proportional to 160,098 and 251,134.50

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Solution

The third proportional to 160,098 and 251,134.50 is: 393,937.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,098 : 251,134.50 = 251,134.50 : x
  2. Step 2: Convert to fraction form
    160,098/251,134.50 = 251,134.50/x
  3. Step 3: Cross multiply
    160,098x = 251,134.50 × 251,134.50
  4. Step 4: Simplify right side
    160,098x = 63,068,537,090.25
  5. Step 5: Solve for x
    x = 63,068,537,090.25/160,098
  6. Step 6: Final answer
    x = 393,937.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.