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Finding the Third Proportional to 145,064 and 227,802

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Solution

The third proportional to 145,064 and 227,802 is: 357,730.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,064 : 227,802 = 227,802 : x
  2. Step 2: Convert to fraction form
    145,064/227,802 = 227,802/x
  3. Step 3: Cross multiply
    145,064x = 227,802 × 227,802
  4. Step 4: Simplify right side
    145,064x = 51,893,751,204
  5. Step 5: Solve for x
    x = 51,893,751,204/145,064
  6. Step 6: Final answer
    x = 357,730.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.