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Finding the Third Proportional to 189,064 and 292,891.50

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Solution

The third proportional to 189,064 and 292,891.50 is: 453,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,064 : 292,891.50 = 292,891.50 : x
  2. Step 2: Convert to fraction form
    189,064/292,891.50 = 292,891.50/x
  3. Step 3: Cross multiply
    189,064x = 292,891.50 × 292,891.50
  4. Step 4: Simplify right side
    189,064x = 85,785,430,772.25
  5. Step 5: Solve for x
    x = 85,785,430,772.25/189,064
  6. Step 6: Final answer
    x = 453,737.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.