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Finding the Third Proportional to 147,885.75 and 225,483.75

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Solution

The third proportional to 147,885.75 and 225,483.75 is: 343,798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,885.75 : 225,483.75 = 225,483.75 : x
  2. Step 2: Convert to fraction form
    147,885.75/225,483.75 = 225,483.75/x
  3. Step 3: Cross multiply
    147,885.75x = 225,483.75 × 225,483.75
  4. Step 4: Simplify right side
    147,885.75x = 50,842,921,514.06
  5. Step 5: Solve for x
    x = 50,842,921,514.06/147,885.75
  6. Step 6: Final answer
    x = 343,798.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.