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Finding the Third Proportional to 160,140 and 370,684

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Solution

The third proportional to 160,140 and 370,684 is: 858,040.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,140 : 370,684 = 370,684 : x
  2. Step 2: Convert to fraction form
    160,140/370,684 = 370,684/x
  3. Step 3: Cross multiply
    160,140x = 370,684 × 370,684
  4. Step 4: Simplify right side
    160,140x = 137,406,627,856
  5. Step 5: Solve for x
    x = 137,406,627,856/160,140
  6. Step 6: Final answer
    x = 858,040.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.