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Finding the Third Proportional to 151,404.19 and 273,207.94

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Solution

The third proportional to 151,404.19 and 273,207.94 is: 493,002.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,404.19 : 273,207.94 = 273,207.94 : x
  2. Step 2: Convert to fraction form
    151,404.19/273,207.94 = 273,207.94/x
  3. Step 3: Cross multiply
    151,404.19x = 273,207.94 × 273,207.94
  4. Step 4: Simplify right side
    151,404.19x = 74,642,577,113.00
  5. Step 5: Solve for x
    x = 74,642,577,113.00/151,404.19
  6. Step 6: Final answer
    x = 493,002.07

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.