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Finding the Third Proportional to 159,051 and 346,684.50

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Solution

The third proportional to 159,051 and 346,684.50 is: 755,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,051 : 346,684.50 = 346,684.50 : x
  2. Step 2: Convert to fraction form
    159,051/346,684.50 = 346,684.50/x
  3. Step 3: Cross multiply
    159,051x = 346,684.50 × 346,684.50
  4. Step 4: Simplify right side
    159,051x = 120,190,142,540.25
  5. Step 5: Solve for x
    x = 120,190,142,540.25/159,051
  6. Step 6: Final answer
    x = 755,670.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.