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Finding the Third Proportional to 160,941 and 346,423.50

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Solution

The third proportional to 160,941 and 346,423.50 is: 745,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,941 : 346,423.50 = 346,423.50 : x
  2. Step 2: Convert to fraction form
    160,941/346,423.50 = 346,423.50/x
  3. Step 3: Cross multiply
    160,941x = 346,423.50 × 346,423.50
  4. Step 4: Simplify right side
    160,941x = 120,009,241,352.25
  5. Step 5: Solve for x
    x = 120,009,241,352.25/160,941
  6. Step 6: Final answer
    x = 745,672.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.