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Finding the Third Proportional to 159,813.84 and 344,535.19

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Solution

The third proportional to 159,813.84 and 344,535.19 is: 742,767.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,813.84 : 344,535.19 = 344,535.19 : x
  2. Step 2: Convert to fraction form
    159,813.84/344,535.19 = 344,535.19/x
  3. Step 3: Cross multiply
    159,813.84x = 344,535.19 × 344,535.19
  4. Step 4: Simplify right side
    159,813.84x = 118,704,495,425.66
  5. Step 5: Solve for x
    x = 118,704,495,425.66/159,813.84
  6. Step 6: Final answer
    x = 742,767.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.