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Finding the Third Proportional to 147,890.18 and 323,767.13

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Solution

The third proportional to 147,890.18 and 323,767.13 is: 708,804.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,890.18 : 323,767.13 = 323,767.13 : x
  2. Step 2: Convert to fraction form
    147,890.18/323,767.13 = 323,767.13/x
  3. Step 3: Cross multiply
    147,890.18x = 323,767.13 × 323,767.13
  4. Step 4: Simplify right side
    147,890.18x = 104,825,151,230.77
  5. Step 5: Solve for x
    x = 104,825,151,230.77/147,890.18
  6. Step 6: Final answer
    x = 708,804.00

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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.