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Finding the Third Proportional to 189,087.75 and 292,771.13

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Solution

The third proportional to 189,087.75 and 292,771.13 is: 453,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,087.75 : 292,771.13 = 292,771.13 : x
  2. Step 2: Convert to fraction form
    189,087.75/292,771.13 = 292,771.13/x
  3. Step 3: Cross multiply
    189,087.75x = 292,771.13 × 292,771.13
  4. Step 4: Simplify right side
    189,087.75x = 85,714,931,633.77
  5. Step 5: Solve for x
    x = 85,714,931,633.77/189,087.75
  6. Step 6: Final answer
    x = 453,307.69

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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.