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Finding the Third Proportional to 147,955.78 and 323,596.69

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Solution

The third proportional to 147,955.78 and 323,596.69 is: 707,744.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,955.78 : 323,596.69 = 323,596.69 : x
  2. Step 2: Convert to fraction form
    147,955.78/323,596.69 = 323,596.69/x
  3. Step 3: Cross multiply
    147,955.78x = 323,596.69 × 323,596.69
  4. Step 4: Simplify right side
    147,955.78x = 104,714,816,160.97
  5. Step 5: Solve for x
    x = 104,714,816,160.97/147,955.78
  6. Step 6: Final answer
    x = 707,744.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.