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Finding the Third Proportional to 142,458.75 and 332,818.88

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Solution

The third proportional to 142,458.75 and 332,818.88 is: 777,547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,458.75 : 332,818.88 = 332,818.88 : x
  2. Step 2: Convert to fraction form
    142,458.75/332,818.88 = 332,818.88/x
  3. Step 3: Cross multiply
    142,458.75x = 332,818.88 × 332,818.88
  4. Step 4: Simplify right side
    142,458.75x = 110,768,403,556.27
  5. Step 5: Solve for x
    x = 110,768,403,556.27/142,458.75
  6. Step 6: Final answer
    x = 777,547.21

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.