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Finding the Third Proportional to 189,657 and 292,693.50

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Solution

The third proportional to 189,657 and 292,693.50 is: 451,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,657 : 292,693.50 = 292,693.50 : x
  2. Step 2: Convert to fraction form
    189,657/292,693.50 = 292,693.50/x
  3. Step 3: Cross multiply
    189,657x = 292,693.50 × 292,693.50
  4. Step 4: Simplify right side
    189,657x = 85,669,484,942.25
  5. Step 5: Solve for x
    x = 85,669,484,942.25/189,657
  6. Step 6: Final answer
    x = 451,707.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.