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Finding the Third Proportional to 145,064 and 227,804

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Solution

The third proportional to 145,064 and 227,804 is: 357,736.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,064 : 227,804 = 227,804 : x
  2. Step 2: Convert to fraction form
    145,064/227,804 = 227,804/x
  3. Step 3: Cross multiply
    145,064x = 227,804 × 227,804
  4. Step 4: Simplify right side
    145,064x = 51,894,662,416
  5. Step 5: Solve for x
    x = 51,894,662,416/145,064
  6. Step 6: Final answer
    x = 357,736.33

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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.