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Finding the Third Proportional to 160,140 and 239,314

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Solution

The third proportional to 160,140 and 239,314 is: 357,632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,140 : 239,314 = 239,314 : x
  2. Step 2: Convert to fraction form
    160,140/239,314 = 239,314/x
  3. Step 3: Cross multiply
    160,140x = 239,314 × 239,314
  4. Step 4: Simplify right side
    160,140x = 57,271,190,596
  5. Step 5: Solve for x
    x = 57,271,190,596/160,140
  6. Step 6: Final answer
    x = 357,632.01

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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.