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Finding the Third Proportional to 155,484.56 and 326,637.56

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Solution

The third proportional to 155,484.56 and 326,637.56 is: 686,190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,484.56 : 326,637.56 = 326,637.56 : x
  2. Step 2: Convert to fraction form
    155,484.56/326,637.56 = 326,637.56/x
  3. Step 3: Cross multiply
    155,484.56x = 326,637.56 × 326,637.56
  4. Step 4: Simplify right side
    155,484.56x = 106,692,097,235.94
  5. Step 5: Solve for x
    x = 106,692,097,235.94/155,484.56
  6. Step 6: Final answer
    x = 686,190.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.