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Finding the Third Proportional to 189,061.50 and 292,887

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Solution

The third proportional to 189,061.50 and 292,887 is: 453,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,061.50 : 292,887 = 292,887 : x
  2. Step 2: Convert to fraction form
    189,061.50/292,887 = 292,887/x
  3. Step 3: Cross multiply
    189,061.50x = 292,887 × 292,887
  4. Step 4: Simplify right side
    189,061.50x = 85,782,794,769
  5. Step 5: Solve for x
    x = 85,782,794,769/189,061.50
  6. Step 6: Final answer
    x = 453,729.58

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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.